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Finding the Third Proportional to 867,291 and 1,334,754

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Solution

The third proportional to 867,291 and 1,334,754 is: 2,054,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,291 : 1,334,754 = 1,334,754 : x
  2. Step 2: Convert to fraction form
    867,291/1,334,754 = 1,334,754/x
  3. Step 3: Cross multiply
    867,291x = 1,334,754 × 1,334,754
  4. Step 4: Simplify right side
    867,291x = 1,781,568,240,516
  5. Step 5: Solve for x
    x = 1,781,568,240,516/867,291
  6. Step 6: Final answer
    x = 2,054,175.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.