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Finding the Third Proportional to 510,813 and 1,074,561

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Solution

The third proportional to 510,813 and 1,074,561 is: 2,260,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,813 : 1,074,561 = 1,074,561 : x
  2. Step 2: Convert to fraction form
    510,813/1,074,561 = 1,074,561/x
  3. Step 3: Cross multiply
    510,813x = 1,074,561 × 1,074,561
  4. Step 4: Simplify right side
    510,813x = 1,154,681,342,721
  5. Step 5: Solve for x
    x = 1,154,681,342,721/510,813
  6. Step 6: Final answer
    x = 2,260,477.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.