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Finding the Third Proportional to 1,431,726.38 and 2,002,705.13

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Solution

The third proportional to 1,431,726.38 and 2,002,705.13 is: 2,801,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,726.38 : 2,002,705.13 = 2,002,705.13 : x
  2. Step 2: Convert to fraction form
    1,431,726.38/2,002,705.13 = 2,002,705.13/x
  3. Step 3: Cross multiply
    1,431,726.38x = 2,002,705.13 × 2,002,705.13
  4. Step 4: Simplify right side
    1,431,726.38x = 4,010,827,817,701.27
  5. Step 5: Solve for x
    x = 4,010,827,817,701.27/1,431,726.38
  6. Step 6: Final answer
    x = 2,801,392.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.