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Finding the Third Proportional to 1,917,585 and 4,260,822

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Solution

The third proportional to 1,917,585 and 4,260,822 is: 9,467,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917,585 : 4,260,822 = 4,260,822 : x
  2. Step 2: Convert to fraction form
    1,917,585/4,260,822 = 4,260,822/x
  3. Step 3: Cross multiply
    1,917,585x = 4,260,822 × 4,260,822
  4. Step 4: Simplify right side
    1,917,585x = 18,154,604,115,684
  5. Step 5: Solve for x
    x = 18,154,604,115,684/1,917,585
  6. Step 6: Final answer
    x = 9,467,431.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.