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Finding the Third Proportional to 710,768.25 and 1,677,882.38

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Solution

The third proportional to 710,768.25 and 1,677,882.38 is: 3,960,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,768.25 : 1,677,882.38 = 1,677,882.38 : x
  2. Step 2: Convert to fraction form
    710,768.25/1,677,882.38 = 1,677,882.38/x
  3. Step 3: Cross multiply
    710,768.25x = 1,677,882.38 × 1,677,882.38
  4. Step 4: Simplify right side
    710,768.25x = 2,815,289,264,335.64
  5. Step 5: Solve for x
    x = 2,815,289,264,335.64/710,768.25
  6. Step 6: Final answer
    x = 3,960,910.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.