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Finding the Third Proportional to 838,602 and 1,117,286

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Solution

The third proportional to 838,602 and 1,117,286 is: 1,488,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,602 : 1,117,286 = 1,117,286 : x
  2. Step 2: Convert to fraction form
    838,602/1,117,286 = 1,117,286/x
  3. Step 3: Cross multiply
    838,602x = 1,117,286 × 1,117,286
  4. Step 4: Simplify right side
    838,602x = 1,248,328,005,796
  5. Step 5: Solve for x
    x = 1,248,328,005,796/838,602
  6. Step 6: Final answer
    x = 1,488,582.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.