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Finding the Third Proportional to 940,758 and 1,413,252

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Solution

The third proportional to 940,758 and 1,413,252 is: 2,123,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,758 : 1,413,252 = 1,413,252 : x
  2. Step 2: Convert to fraction form
    940,758/1,413,252 = 1,413,252/x
  3. Step 3: Cross multiply
    940,758x = 1,413,252 × 1,413,252
  4. Step 4: Simplify right side
    940,758x = 1,997,281,215,504
  5. Step 5: Solve for x
    x = 1,997,281,215,504/940,758
  6. Step 6: Final answer
    x = 2,123,055.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.