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Finding the Third Proportional to 491,442 and 1,051,197

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Solution

The third proportional to 491,442 and 1,051,197 is: 2,248,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,442 : 1,051,197 = 1,051,197 : x
  2. Step 2: Convert to fraction form
    491,442/1,051,197 = 1,051,197/x
  3. Step 3: Cross multiply
    491,442x = 1,051,197 × 1,051,197
  4. Step 4: Simplify right side
    491,442x = 1,105,015,132,809
  5. Step 5: Solve for x
    x = 1,105,015,132,809/491,442
  6. Step 6: Final answer
    x = 2,248,515.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.