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Finding the Third Proportional to 733,854 and 1,119,762

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Solution

The third proportional to 733,854 and 1,119,762 is: 1,708,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,854 : 1,119,762 = 1,119,762 : x
  2. Step 2: Convert to fraction form
    733,854/1,119,762 = 1,119,762/x
  3. Step 3: Cross multiply
    733,854x = 1,119,762 × 1,119,762
  4. Step 4: Simplify right side
    733,854x = 1,253,866,936,644
  5. Step 5: Solve for x
    x = 1,253,866,936,644/733,854
  6. Step 6: Final answer
    x = 1,708,605.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.