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Finding the Third Proportional to 3,859,714 and 5,677,304.50

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Solution

The third proportional to 3,859,714 and 5,677,304.50 is: 8,350,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,714 : 5,677,304.50 = 5,677,304.50 : x
  2. Step 2: Convert to fraction form
    3,859,714/5,677,304.50 = 5,677,304.50/x
  3. Step 3: Cross multiply
    3,859,714x = 5,677,304.50 × 5,677,304.50
  4. Step 4: Simplify right side
    3,859,714x = 32,231,786,385,720.25
  5. Step 5: Solve for x
    x = 32,231,786,385,720.25/3,859,714
  6. Step 6: Final answer
    x = 8,350,822.47

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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.