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Finding the Third Proportional to 525,528 and 1,138,218

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Solution

The third proportional to 525,528 and 1,138,218 is: 2,465,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,528 : 1,138,218 = 1,138,218 : x
  2. Step 2: Convert to fraction form
    525,528/1,138,218 = 1,138,218/x
  3. Step 3: Cross multiply
    525,528x = 1,138,218 × 1,138,218
  4. Step 4: Simplify right side
    525,528x = 1,295,540,215,524
  5. Step 5: Solve for x
    x = 1,295,540,215,524/525,528
  6. Step 6: Final answer
    x = 2,465,216.35

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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.