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Finding the Third Proportional to 1,176,728 and 2,540,078

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Solution

The third proportional to 1,176,728 and 2,540,078 is: 5,482,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,728 : 2,540,078 = 2,540,078 : x
  2. Step 2: Convert to fraction form
    1,176,728/2,540,078 = 2,540,078/x
  3. Step 3: Cross multiply
    1,176,728x = 2,540,078 × 2,540,078
  4. Step 4: Simplify right side
    1,176,728x = 6,451,996,246,084
  5. Step 5: Solve for x
    x = 6,451,996,246,084/1,176,728
  6. Step 6: Final answer
    x = 5,482,997.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.