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Finding the Third Proportional to 527,076 and 1,149,561

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Solution

The third proportional to 527,076 and 1,149,561 is: 2,507,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,076 : 1,149,561 = 1,149,561 : x
  2. Step 2: Convert to fraction form
    527,076/1,149,561 = 1,149,561/x
  3. Step 3: Cross multiply
    527,076x = 1,149,561 × 1,149,561
  4. Step 4: Simplify right side
    527,076x = 1,321,490,492,721
  5. Step 5: Solve for x
    x = 1,321,490,492,721/527,076
  6. Step 6: Final answer
    x = 2,507,210.52

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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.