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Finding the Third Proportional to 912,825 and 1,418,988

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Solution

The third proportional to 912,825 and 1,418,988 is: 2,205,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,825 : 1,418,988 = 1,418,988 : x
  2. Step 2: Convert to fraction form
    912,825/1,418,988 = 1,418,988/x
  3. Step 3: Cross multiply
    912,825x = 1,418,988 × 1,418,988
  4. Step 4: Simplify right side
    912,825x = 2,013,526,944,144
  5. Step 5: Solve for x
    x = 2,013,526,944,144/912,825
  6. Step 6: Final answer
    x = 2,205,819.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.