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Finding the Third Proportional to 527,026 and 1,156,490

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Solution

The third proportional to 527,026 and 1,156,490 is: 2,537,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,026 : 1,156,490 = 1,156,490 : x
  2. Step 2: Convert to fraction form
    527,026/1,156,490 = 1,156,490/x
  3. Step 3: Cross multiply
    527,026x = 1,156,490 × 1,156,490
  4. Step 4: Simplify right side
    527,026x = 1,337,469,120,100
  5. Step 5: Solve for x
    x = 1,337,469,120,100/527,026
  6. Step 6: Final answer
    x = 2,537,766.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.