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Finding the Third Proportional to 677,062.13 and 1,051,747.03

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Solution

The third proportional to 677,062.13 and 1,051,747.03 is: 1,633,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,062.13 : 1,051,747.03 = 1,051,747.03 : x
  2. Step 2: Convert to fraction form
    677,062.13/1,051,747.03 = 1,051,747.03/x
  3. Step 3: Cross multiply
    677,062.13x = 1,051,747.03 × 1,051,747.03
  4. Step 4: Simplify right side
    677,062.13x = 1,106,171,817,743.19
  5. Step 5: Solve for x
    x = 1,106,171,817,743.19/677,062.13
  6. Step 6: Final answer
    x = 1,633,781.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.