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Finding the Third Proportional to 1,174,544 and 2,564,812

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Solution

The third proportional to 1,174,544 and 2,564,812 is: 5,600,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,544 : 2,564,812 = 2,564,812 : x
  2. Step 2: Convert to fraction form
    1,174,544/2,564,812 = 2,564,812/x
  3. Step 3: Cross multiply
    1,174,544x = 2,564,812 × 2,564,812
  4. Step 4: Simplify right side
    1,174,544x = 6,578,260,595,344
  5. Step 5: Solve for x
    x = 6,578,260,595,344/1,174,544
  6. Step 6: Final answer
    x = 5,600,693.20

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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.