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Finding the Third Proportional to 658,624 and 1,016,772

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Solution

The third proportional to 658,624 and 1,016,772 is: 1,569,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,624 : 1,016,772 = 1,016,772 : x
  2. Step 2: Convert to fraction form
    658,624/1,016,772 = 1,016,772/x
  3. Step 3: Cross multiply
    658,624x = 1,016,772 × 1,016,772
  4. Step 4: Simplify right side
    658,624x = 1,033,825,299,984
  5. Step 5: Solve for x
    x = 1,033,825,299,984/658,624
  6. Step 6: Final answer
    x = 1,569,674.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.