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Finding the Third Proportional to 4,108,497 and 6,387,009

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Solution

The third proportional to 4,108,497 and 6,387,009 is: 9,929,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108,497 : 6,387,009 = 6,387,009 : x
  2. Step 2: Convert to fraction form
    4,108,497/6,387,009 = 6,387,009/x
  3. Step 3: Cross multiply
    4,108,497x = 6,387,009 × 6,387,009
  4. Step 4: Simplify right side
    4,108,497x = 40,793,883,966,081
  5. Step 5: Solve for x
    x = 40,793,883,966,081/4,108,497
  6. Step 6: Final answer
    x = 9,929,150.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.