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Finding the Third Proportional to 1,949,766 and 4,207,809

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Solution

The third proportional to 1,949,766 and 4,207,809 is: 9,080,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,766 : 4,207,809 = 4,207,809 : x
  2. Step 2: Convert to fraction form
    1,949,766/4,207,809 = 4,207,809/x
  3. Step 3: Cross multiply
    1,949,766x = 4,207,809 × 4,207,809
  4. Step 4: Simplify right side
    1,949,766x = 17,705,656,580,481
  5. Step 5: Solve for x
    x = 17,705,656,580,481/1,949,766
  6. Step 6: Final answer
    x = 9,080,913.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.