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Finding the Third Proportional to 491,868 and 1,160,656

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Solution

The third proportional to 491,868 and 1,160,656 is: 2,738,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,868 : 1,160,656 = 1,160,656 : x
  2. Step 2: Convert to fraction form
    491,868/1,160,656 = 1,160,656/x
  3. Step 3: Cross multiply
    491,868x = 1,160,656 × 1,160,656
  4. Step 4: Simplify right side
    491,868x = 1,347,122,350,336
  5. Step 5: Solve for x
    x = 1,347,122,350,336/491,868
  6. Step 6: Final answer
    x = 2,738,788.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.