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Finding the Third Proportional to 648,435 and 970,060

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Solution

The third proportional to 648,435 and 970,060 is: 1,451,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,435 : 970,060 = 970,060 : x
  2. Step 2: Convert to fraction form
    648,435/970,060 = 970,060/x
  3. Step 3: Cross multiply
    648,435x = 970,060 × 970,060
  4. Step 4: Simplify right side
    648,435x = 941,016,403,600
  5. Step 5: Solve for x
    x = 941,016,403,600/648,435
  6. Step 6: Final answer
    x = 1,451,211.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.