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Finding the Third Proportional to 710,763.75 and 1,677,871.13

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Solution

The third proportional to 710,763.75 and 1,677,871.13 is: 3,960,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,763.75 : 1,677,871.13 = 1,677,871.13 : x
  2. Step 2: Convert to fraction form
    710,763.75/1,677,871.13 = 1,677,871.13/x
  3. Step 3: Cross multiply
    710,763.75x = 1,677,871.13 × 1,677,871.13
  4. Step 4: Simplify right side
    710,763.75x = 2,815,251,512,108.77
  5. Step 5: Solve for x
    x = 2,815,251,512,108.77/710,763.75
  6. Step 6: Final answer
    x = 3,960,882.24

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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.