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Finding the Third Proportional to 532,986 and 1,087,382

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Solution

The third proportional to 532,986 and 1,087,382 is: 2,218,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,986 : 1,087,382 = 1,087,382 : x
  2. Step 2: Convert to fraction form
    532,986/1,087,382 = 1,087,382/x
  3. Step 3: Cross multiply
    532,986x = 1,087,382 × 1,087,382
  4. Step 4: Simplify right side
    532,986x = 1,182,399,613,924
  5. Step 5: Solve for x
    x = 1,182,399,613,924/532,986
  6. Step 6: Final answer
    x = 2,218,444.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.