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Finding the Third Proportional to 431,587 and 948,827

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Solution

The third proportional to 431,587 and 948,827 is: 2,085,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,587 : 948,827 = 948,827 : x
  2. Step 2: Convert to fraction form
    431,587/948,827 = 948,827/x
  3. Step 3: Cross multiply
    431,587x = 948,827 × 948,827
  4. Step 4: Simplify right side
    431,587x = 900,272,675,929
  5. Step 5: Solve for x
    x = 900,272,675,929/431,587
  6. Step 6: Final answer
    x = 2,085,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.