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Finding the Third Proportional to 733,539,501 and 1,097,400,906

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Solution

The third proportional to 733,539,501 and 1,097,400,906 is: 1,641,750,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,539,501 : 1,097,400,906 = 1,097,400,906 : x
  2. Step 2: Convert to fraction form
    733,539,501/1,097,400,906 = 1,097,400,906/x
  3. Step 3: Cross multiply
    733,539,501x = 1,097,400,906 × 1,097,400,906
  4. Step 4: Simplify right side
    733,539,501x = 1,204,288,748,489,620,736
  5. Step 5: Solve for x
    x = 1,204,288,748,489,620,736/733,539,501
  6. Step 6: Final answer
    x = 1,641,750,371.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.