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Finding the Third Proportional to 694,909 and 1,036,290

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Solution

The third proportional to 694,909 and 1,036,290 is: 1,545,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,909 : 1,036,290 = 1,036,290 : x
  2. Step 2: Convert to fraction form
    694,909/1,036,290 = 1,036,290/x
  3. Step 3: Cross multiply
    694,909x = 1,036,290 × 1,036,290
  4. Step 4: Simplify right side
    694,909x = 1,073,896,964,100
  5. Step 5: Solve for x
    x = 1,073,896,964,100/694,909
  6. Step 6: Final answer
    x = 1,545,377.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.