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Finding the Third Proportional to 3,859,712.25 and 5,677,302.38

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Solution

The third proportional to 3,859,712.25 and 5,677,302.38 is: 8,350,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,712.25 : 5,677,302.38 = 5,677,302.38 : x
  2. Step 2: Convert to fraction form
    3,859,712.25/5,677,302.38 = 5,677,302.38/x
  3. Step 3: Cross multiply
    3,859,712.25x = 5,677,302.38 × 5,677,302.38
  4. Step 4: Simplify right side
    3,859,712.25x = 32,231,762,257,180.64
  5. Step 5: Solve for x
    x = 32,231,762,257,180.64/3,859,712.25
  6. Step 6: Final answer
    x = 8,350,820.00

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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.