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Finding the Third Proportional to 659,115 and 1,439,046

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Solution

The third proportional to 659,115 and 1,439,046 is: 3,141,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,115 : 1,439,046 = 1,439,046 : x
  2. Step 2: Convert to fraction form
    659,115/1,439,046 = 1,439,046/x
  3. Step 3: Cross multiply
    659,115x = 1,439,046 × 1,439,046
  4. Step 4: Simplify right side
    659,115x = 2,070,853,390,116
  5. Step 5: Solve for x
    x = 2,070,853,390,116/659,115
  6. Step 6: Final answer
    x = 3,141,869.61

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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.