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Finding the Third Proportional to 648,472 and 1,035,949

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Solution

The third proportional to 648,472 and 1,035,949 is: 1,654,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,472 : 1,035,949 = 1,035,949 : x
  2. Step 2: Convert to fraction form
    648,472/1,035,949 = 1,035,949/x
  3. Step 3: Cross multiply
    648,472x = 1,035,949 × 1,035,949
  4. Step 4: Simplify right side
    648,472x = 1,073,190,330,601
  5. Step 5: Solve for x
    x = 1,073,190,330,601/648,472
  6. Step 6: Final answer
    x = 1,654,952.46

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.