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Finding the Third Proportional to 659,113 and 1,439,042

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Solution

The third proportional to 659,113 and 1,439,042 is: 3,141,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,113 : 1,439,042 = 1,439,042 : x
  2. Step 2: Convert to fraction form
    659,113/1,439,042 = 1,439,042/x
  3. Step 3: Cross multiply
    659,113x = 1,439,042 × 1,439,042
  4. Step 4: Simplify right side
    659,113x = 2,070,841,877,764
  5. Step 5: Solve for x
    x = 2,070,841,877,764/659,113
  6. Step 6: Final answer
    x = 3,141,861.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.