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Finding the Third Proportional to 724,142 and 1,012,875

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Solution

The third proportional to 724,142 and 1,012,875 is: 1,416,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,142 : 1,012,875 = 1,012,875 : x
  2. Step 2: Convert to fraction form
    724,142/1,012,875 = 1,012,875/x
  3. Step 3: Cross multiply
    724,142x = 1,012,875 × 1,012,875
  4. Step 4: Simplify right side
    724,142x = 1,025,915,765,625
  5. Step 5: Solve for x
    x = 1,025,915,765,625/724,142
  6. Step 6: Final answer
    x = 1,416,732.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.