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Finding the Third Proportional to 1,233,766.69 and 1,650,402

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Solution

The third proportional to 1,233,766.69 and 1,650,402 is: 2,207,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,766.69 : 1,650,402 = 1,650,402 : x
  2. Step 2: Convert to fraction form
    1,233,766.69/1,650,402 = 1,650,402/x
  3. Step 3: Cross multiply
    1,233,766.69x = 1,650,402 × 1,650,402
  4. Step 4: Simplify right side
    1,233,766.69x = 2,723,826,761,604
  5. Step 5: Solve for x
    x = 2,723,826,761,604/1,233,766.69
  6. Step 6: Final answer
    x = 2,207,732.46

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.