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Finding the Third Proportional to 1,149,179 and 2,497,376

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Solution

The third proportional to 1,149,179 and 2,497,376 is: 5,427,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,179 : 2,497,376 = 2,497,376 : x
  2. Step 2: Convert to fraction form
    1,149,179/2,497,376 = 2,497,376/x
  3. Step 3: Cross multiply
    1,149,179x = 2,497,376 × 2,497,376
  4. Step 4: Simplify right side
    1,149,179x = 6,236,886,885,376
  5. Step 5: Solve for x
    x = 6,236,886,885,376/1,149,179
  6. Step 6: Final answer
    x = 5,427,254.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.