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Finding the Third Proportional to 510,440,829.75 and 1,098,453,369.75

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Solution

The third proportional to 510,440,829.75 and 1,098,453,369.75 is: 2,363,838,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,440,829.75 : 1,098,453,369.75 = 1,098,453,369.75 : x
  2. Step 2: Convert to fraction form
    510,440,829.75/1,098,453,369.75 = 1,098,453,369.75/x
  3. Step 3: Cross multiply
    510,440,829.75x = 1,098,453,369.75 × 1,098,453,369.75
  4. Step 4: Simplify right side
    510,440,829.75x = 1,206,599,805,515,130,112
  5. Step 5: Solve for x
    x = 1,206,599,805,515,130,112/510,440,829.75
  6. Step 6: Final answer
    x = 2,363,838,735.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.