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Finding the Third Proportional to 650,894 and 1,007,747

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Solution

The third proportional to 650,894 and 1,007,747 is: 1,560,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,894 : 1,007,747 = 1,007,747 : x
  2. Step 2: Convert to fraction form
    650,894/1,007,747 = 1,007,747/x
  3. Step 3: Cross multiply
    650,894x = 1,007,747 × 1,007,747
  4. Step 4: Simplify right side
    650,894x = 1,015,554,016,009
  5. Step 5: Solve for x
    x = 1,015,554,016,009/650,894
  6. Step 6: Final answer
    x = 1,560,244.86

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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.