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Finding the Third Proportional to 483,323,125 and 715,924,581

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Solution

The third proportional to 483,323,125 and 715,924,581 is: 1,060,466,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,323,125 : 715,924,581 = 715,924,581 : x
  2. Step 2: Convert to fraction form
    483,323,125/715,924,581 = 715,924,581/x
  3. Step 3: Cross multiply
    483,323,125x = 715,924,581 × 715,924,581
  4. Step 4: Simplify right side
    483,323,125x = 512,548,005,680,025,536
  5. Step 5: Solve for x
    x = 512,548,005,680,025,536/483,323,125
  6. Step 6: Final answer
    x = 1,060,466,547.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.