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Finding the Third Proportional to 1,171,332.14 and 2,567,014.03

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Solution

The third proportional to 1,171,332.14 and 2,567,014.03 is: 5,625,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,332.14 : 2,567,014.03 = 2,567,014.03 : x
  2. Step 2: Convert to fraction form
    1,171,332.14/2,567,014.03 = 2,567,014.03/x
  3. Step 3: Cross multiply
    1,171,332.14x = 2,567,014.03 × 2,567,014.03
  4. Step 4: Simplify right side
    1,171,332.14x = 6,589,561,036,634.38
  5. Step 5: Solve for x
    x = 6,589,561,036,634.38/1,171,332.14
  6. Step 6: Final answer
    x = 5,625,698.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.