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Finding the Third Proportional to 527,288 and 1,244,184

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Solution

The third proportional to 527,288 and 1,244,184 is: 2,935,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,288 : 1,244,184 = 1,244,184 : x
  2. Step 2: Convert to fraction form
    527,288/1,244,184 = 1,244,184/x
  3. Step 3: Cross multiply
    527,288x = 1,244,184 × 1,244,184
  4. Step 4: Simplify right side
    527,288x = 1,547,993,825,856
  5. Step 5: Solve for x
    x = 1,547,993,825,856/527,288
  6. Step 6: Final answer
    x = 2,935,765.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.