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Finding the Third Proportional to 910,876 and 1,361,297

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Solution

The third proportional to 910,876 and 1,361,297 is: 2,034,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,876 : 1,361,297 = 1,361,297 : x
  2. Step 2: Convert to fraction form
    910,876/1,361,297 = 1,361,297/x
  3. Step 3: Cross multiply
    910,876x = 1,361,297 × 1,361,297
  4. Step 4: Simplify right side
    910,876x = 1,853,129,522,209
  5. Step 5: Solve for x
    x = 1,853,129,522,209/910,876
  6. Step 6: Final answer
    x = 2,034,447.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.