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Finding the Third Proportional to 521,294,616 and 764,900,676

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Solution

The third proportional to 521,294,616 and 764,900,676 is: 1,122,346,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,294,616 : 764,900,676 = 764,900,676 : x
  2. Step 2: Convert to fraction form
    521,294,616/764,900,676 = 764,900,676/x
  3. Step 3: Cross multiply
    521,294,616x = 764,900,676 × 764,900,676
  4. Step 4: Simplify right side
    521,294,616x = 585,073,044,145,256,960
  5. Step 5: Solve for x
    x = 585,073,044,145,256,960/521,294,616
  6. Step 6: Final answer
    x = 1,122,346,224.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.