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Finding the Third Proportional to 1,124,421.33 and 2,428,374.94

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Solution

The third proportional to 1,124,421.33 and 2,428,374.94 is: 5,244,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,421.33 : 2,428,374.94 = 2,428,374.94 : x
  2. Step 2: Convert to fraction form
    1,124,421.33/2,428,374.94 = 2,428,374.94/x
  3. Step 3: Cross multiply
    1,124,421.33x = 2,428,374.94 × 2,428,374.94
  4. Step 4: Simplify right side
    1,124,421.33x = 5,897,004,837,078.13
  5. Step 5: Solve for x
    x = 5,897,004,837,078.13/1,124,421.33
  6. Step 6: Final answer
    x = 5,244,479.71

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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.