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Finding the Third Proportional to 527,226 and 1,159,412

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Solution

The third proportional to 527,226 and 1,159,412 is: 2,549,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,226 : 1,159,412 = 1,159,412 : x
  2. Step 2: Convert to fraction form
    527,226/1,159,412 = 1,159,412/x
  3. Step 3: Cross multiply
    527,226x = 1,159,412 × 1,159,412
  4. Step 4: Simplify right side
    527,226x = 1,344,236,185,744
  5. Step 5: Solve for x
    x = 1,344,236,185,744/527,226
  6. Step 6: Final answer
    x = 2,549,639.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.