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Finding the Third Proportional to 838,600 and 1,117,283

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Solution

The third proportional to 838,600 and 1,117,283 is: 1,488,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,600 : 1,117,283 = 1,117,283 : x
  2. Step 2: Convert to fraction form
    838,600/1,117,283 = 1,117,283/x
  3. Step 3: Cross multiply
    838,600x = 1,117,283 × 1,117,283
  4. Step 4: Simplify right side
    838,600x = 1,248,321,302,089
  5. Step 5: Solve for x
    x = 1,248,321,302,089/838,600
  6. Step 6: Final answer
    x = 1,488,577.75

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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.