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Finding the Third Proportional to 3,843,461 and 5,649,495

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Solution

The third proportional to 3,843,461 and 5,649,495 is: 8,304,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843,461 : 5,649,495 = 5,649,495 : x
  2. Step 2: Convert to fraction form
    3,843,461/5,649,495 = 5,649,495/x
  3. Step 3: Cross multiply
    3,843,461x = 5,649,495 × 5,649,495
  4. Step 4: Simplify right side
    3,843,461x = 31,916,793,755,025
  5. Step 5: Solve for x
    x = 31,916,793,755,025/3,843,461
  6. Step 6: Final answer
    x = 8,304,180.47

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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.