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Finding the Third Proportional to 410,030 and 887,451

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Solution

The third proportional to 410,030 and 887,451 is: 1,920,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,030 : 887,451 = 887,451 : x
  2. Step 2: Convert to fraction form
    410,030/887,451 = 887,451/x
  3. Step 3: Cross multiply
    410,030x = 887,451 × 887,451
  4. Step 4: Simplify right side
    410,030x = 787,569,277,401
  5. Step 5: Solve for x
    x = 787,569,277,401/410,030
  6. Step 6: Final answer
    x = 1,920,760.13

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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.