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Finding the Third Proportional to 461,156 and 1,003,080

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Solution

The third proportional to 461,156 and 1,003,080 is: 2,181,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,156 : 1,003,080 = 1,003,080 : x
  2. Step 2: Convert to fraction form
    461,156/1,003,080 = 1,003,080/x
  3. Step 3: Cross multiply
    461,156x = 1,003,080 × 1,003,080
  4. Step 4: Simplify right side
    461,156x = 1,006,169,486,400
  5. Step 5: Solve for x
    x = 1,006,169,486,400/461,156
  6. Step 6: Final answer
    x = 2,181,841.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.