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Finding the Third Proportional to 659,070 and 1,438,956

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Solution

The third proportional to 659,070 and 1,438,956 is: 3,141,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,070 : 1,438,956 = 1,438,956 : x
  2. Step 2: Convert to fraction form
    659,070/1,438,956 = 1,438,956/x
  3. Step 3: Cross multiply
    659,070x = 1,438,956 × 1,438,956
  4. Step 4: Simplify right side
    659,070x = 2,070,594,369,936
  5. Step 5: Solve for x
    x = 2,070,594,369,936/659,070
  6. Step 6: Final answer
    x = 3,141,691.13

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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.