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Finding the Third Proportional to 491,242 and 1,074,134

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Solution

The third proportional to 491,242 and 1,074,134 is: 2,348,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,242 : 1,074,134 = 1,074,134 : x
  2. Step 2: Convert to fraction form
    491,242/1,074,134 = 1,074,134/x
  3. Step 3: Cross multiply
    491,242x = 1,074,134 × 1,074,134
  4. Step 4: Simplify right side
    491,242x = 1,153,763,849,956
  5. Step 5: Solve for x
    x = 1,153,763,849,956/491,242
  6. Step 6: Final answer
    x = 2,348,666.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.