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Finding the Third Proportional to 971,686.13 and 2,005,610.06

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Solution

The third proportional to 971,686.13 and 2,005,610.06 is: 4,139,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,686.13 : 2,005,610.06 = 2,005,610.06 : x
  2. Step 2: Convert to fraction form
    971,686.13/2,005,610.06 = 2,005,610.06/x
  3. Step 3: Cross multiply
    971,686.13x = 2,005,610.06 × 2,005,610.06
  4. Step 4: Simplify right side
    971,686.13x = 4,022,471,722,801.25
  5. Step 5: Solve for x
    x = 4,022,471,722,801.25/971,686.13
  6. Step 6: Final answer
    x = 4,139,682.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.