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Finding the Third Proportional to 1,822,440 and 4,218,975

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Solution

The third proportional to 1,822,440 and 4,218,975 is: 9,766,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,440 : 4,218,975 = 4,218,975 : x
  2. Step 2: Convert to fraction form
    1,822,440/4,218,975 = 4,218,975/x
  3. Step 3: Cross multiply
    1,822,440x = 4,218,975 × 4,218,975
  4. Step 4: Simplify right side
    1,822,440x = 17,799,750,050,625
  5. Step 5: Solve for x
    x = 17,799,750,050,625/1,822,440
  6. Step 6: Final answer
    x = 9,766,988.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.