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Finding the Third Proportional to 410,033 and 887,458

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Solution

The third proportional to 410,033 and 887,458 is: 1,920,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,033 : 887,458 = 887,458 : x
  2. Step 2: Convert to fraction form
    410,033/887,458 = 887,458/x
  3. Step 3: Cross multiply
    410,033x = 887,458 × 887,458
  4. Step 4: Simplify right side
    410,033x = 787,581,701,764
  5. Step 5: Solve for x
    x = 787,581,701,764/410,033
  6. Step 6: Final answer
    x = 1,920,776.38

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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.