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Finding the Third Proportional to 2,115,262.13 and 3,222,465.19

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Solution

The third proportional to 2,115,262.13 and 3,222,465.19 is: 4,909,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115,262.13 : 3,222,465.19 = 3,222,465.19 : x
  2. Step 2: Convert to fraction form
    2,115,262.13/3,222,465.19 = 3,222,465.19/x
  3. Step 3: Cross multiply
    2,115,262.13x = 3,222,465.19 × 3,222,465.19
  4. Step 4: Simplify right side
    2,115,262.13x = 10,384,281,884,649.41
  5. Step 5: Solve for x
    x = 10,384,281,884,649.41/2,115,262.13
  6. Step 6: Final answer
    x = 4,909,217.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.