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Finding the Third Proportional to 1,324,167.75 and 1,874,214.28

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Solution

The third proportional to 1,324,167.75 and 1,874,214.28 is: 2,652,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,167.75 : 1,874,214.28 = 1,874,214.28 : x
  2. Step 2: Convert to fraction form
    1,324,167.75/1,874,214.28 = 1,874,214.28/x
  3. Step 3: Cross multiply
    1,324,167.75x = 1,874,214.28 × 1,874,214.28
  4. Step 4: Simplify right side
    1,324,167.75x = 3,512,679,172,041.45
  5. Step 5: Solve for x
    x = 3,512,679,172,041.45/1,324,167.75
  6. Step 6: Final answer
    x = 2,652,744.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.