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Finding the Third Proportional to 410,037 and 887,466

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Solution

The third proportional to 410,037 and 887,466 is: 1,920,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,037 : 887,466 = 887,466 : x
  2. Step 2: Convert to fraction form
    410,037/887,466 = 887,466/x
  3. Step 3: Cross multiply
    410,037x = 887,466 × 887,466
  4. Step 4: Simplify right side
    410,037x = 787,595,901,156
  5. Step 5: Solve for x
    x = 787,595,901,156/410,037
  6. Step 6: Final answer
    x = 1,920,792.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.