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Finding the Third Proportional to 2,081,121 and 4,539,423

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Solution

The third proportional to 2,081,121 and 4,539,423 is: 9,901,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,121 : 4,539,423 = 4,539,423 : x
  2. Step 2: Convert to fraction form
    2,081,121/4,539,423 = 4,539,423/x
  3. Step 3: Cross multiply
    2,081,121x = 4,539,423 × 4,539,423
  4. Step 4: Simplify right side
    2,081,121x = 20,606,361,172,929
  5. Step 5: Solve for x
    x = 20,606,361,172,929/2,081,121
  6. Step 6: Final answer
    x = 9,901,568.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.