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Finding the Third Proportional to 2,524,297 and 5,433,506

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Solution

The third proportional to 2,524,297 and 5,433,506 is: 11,695,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524,297 : 5,433,506 = 5,433,506 : x
  2. Step 2: Convert to fraction form
    2,524,297/5,433,506 = 5,433,506/x
  3. Step 3: Cross multiply
    2,524,297x = 5,433,506 × 5,433,506
  4. Step 4: Simplify right side
    2,524,297x = 29,522,987,452,036
  5. Step 5: Solve for x
    x = 29,522,987,452,036/2,524,297
  6. Step 6: Final answer
    x = 11,695,528.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.