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Finding the Third Proportional to 527,236 and 1,159,432

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Solution

The third proportional to 527,236 and 1,159,432 is: 2,549,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,236 : 1,159,432 = 1,159,432 : x
  2. Step 2: Convert to fraction form
    527,236/1,159,432 = 1,159,432/x
  3. Step 3: Cross multiply
    527,236x = 1,159,432 × 1,159,432
  4. Step 4: Simplify right side
    527,236x = 1,344,282,562,624
  5. Step 5: Solve for x
    x = 1,344,282,562,624/527,236
  6. Step 6: Final answer
    x = 2,549,679.01

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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.