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Finding the Third Proportional to 3,686,259.38 and 5,769,964.13

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Solution

The third proportional to 3,686,259.38 and 5,769,964.13 is: 9,031,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,259.38 : 5,769,964.13 = 5,769,964.13 : x
  2. Step 2: Convert to fraction form
    3,686,259.38/5,769,964.13 = 5,769,964.13/x
  3. Step 3: Cross multiply
    3,686,259.38x = 5,769,964.13 × 5,769,964.13
  4. Step 4: Simplify right side
    3,686,259.38x = 33,292,486,003,787.02
  5. Step 5: Solve for x
    x = 33,292,486,003,787.02/3,686,259.38
  6. Step 6: Final answer
    x = 9,031,509.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.