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Finding the Third Proportional to 510,363 and 1,098,720

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Solution

The third proportional to 510,363 and 1,098,720 is: 2,365,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,363 : 1,098,720 = 1,098,720 : x
  2. Step 2: Convert to fraction form
    510,363/1,098,720 = 1,098,720/x
  3. Step 3: Cross multiply
    510,363x = 1,098,720 × 1,098,720
  4. Step 4: Simplify right side
    510,363x = 1,207,185,638,400
  5. Step 5: Solve for x
    x = 1,207,185,638,400/510,363
  6. Step 6: Final answer
    x = 2,365,347.09

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