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Finding the Third Proportional to 659,114 and 1,439,044

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Solution

The third proportional to 659,114 and 1,439,044 is: 3,141,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,114 : 1,439,044 = 1,439,044 : x
  2. Step 2: Convert to fraction form
    659,114/1,439,044 = 1,439,044/x
  3. Step 3: Cross multiply
    659,114x = 1,439,044 × 1,439,044
  4. Step 4: Simplify right side
    659,114x = 2,070,847,633,936
  5. Step 5: Solve for x
    x = 2,070,847,633,936/659,114
  6. Step 6: Final answer
    x = 3,141,865.65

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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.