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Finding the Third Proportional to 1,112,269.50 and 2,428,416

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Solution

The third proportional to 1,112,269.50 and 2,428,416 is: 5,301,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112,269.50 : 2,428,416 = 2,428,416 : x
  2. Step 2: Convert to fraction form
    1,112,269.50/2,428,416 = 2,428,416/x
  3. Step 3: Cross multiply
    1,112,269.50x = 2,428,416 × 2,428,416
  4. Step 4: Simplify right side
    1,112,269.50x = 5,897,204,269,056
  5. Step 5: Solve for x
    x = 5,897,204,269,056/1,112,269.50
  6. Step 6: Final answer
    x = 5,301,956.29

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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.