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Finding the Third Proportional to 664,532 and 1,003,710

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Solution

The third proportional to 664,532 and 1,003,710 is: 1,516,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,532 : 1,003,710 = 1,003,710 : x
  2. Step 2: Convert to fraction form
    664,532/1,003,710 = 1,003,710/x
  3. Step 3: Cross multiply
    664,532x = 1,003,710 × 1,003,710
  4. Step 4: Simplify right side
    664,532x = 1,007,433,764,100
  5. Step 5: Solve for x
    x = 1,007,433,764,100/664,532
  6. Step 6: Final answer
    x = 1,516,004.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.