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Finding the Third Proportional to 462,915 and 1,007,802

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Solution

The third proportional to 462,915 and 1,007,802 is: 2,194,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,915 : 1,007,802 = 1,007,802 : x
  2. Step 2: Convert to fraction form
    462,915/1,007,802 = 1,007,802/x
  3. Step 3: Cross multiply
    462,915x = 1,007,802 × 1,007,802
  4. Step 4: Simplify right side
    462,915x = 1,015,664,871,204
  5. Step 5: Solve for x
    x = 1,015,664,871,204/462,915
  6. Step 6: Final answer
    x = 2,194,063.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.