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Finding the Third Proportional to 2,172,561.75 and 3,192,291

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Solution

The third proportional to 2,172,561.75 and 3,192,291 is: 4,690,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,561.75 : 3,192,291 = 3,192,291 : x
  2. Step 2: Convert to fraction form
    2,172,561.75/3,192,291 = 3,192,291/x
  3. Step 3: Cross multiply
    2,172,561.75x = 3,192,291 × 3,192,291
  4. Step 4: Simplify right side
    2,172,561.75x = 10,190,721,828,681
  5. Step 5: Solve for x
    x = 10,190,721,828,681/2,172,561.75
  6. Step 6: Final answer
    x = 4,690,647.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.