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Finding the Third Proportional to 3,617,220 and 4,822,001

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Solution

The third proportional to 3,617,220 and 4,822,001 is: 6,428,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,220 : 4,822,001 = 4,822,001 : x
  2. Step 2: Convert to fraction form
    3,617,220/4,822,001 = 4,822,001/x
  3. Step 3: Cross multiply
    3,617,220x = 4,822,001 × 4,822,001
  4. Step 4: Simplify right side
    3,617,220x = 23,251,693,644,001
  5. Step 5: Solve for x
    x = 23,251,693,644,001/3,617,220
  6. Step 6: Final answer
    x = 6,428,056.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.