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Finding the Third Proportional to 410,064 and 887,519

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Solution

The third proportional to 410,064 and 887,519 is: 1,920,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064 : 887,519 = 887,519 : x
  2. Step 2: Convert to fraction form
    410,064/887,519 = 887,519/x
  3. Step 3: Cross multiply
    410,064x = 887,519 × 887,519
  4. Step 4: Simplify right side
    410,064x = 787,689,975,361
  5. Step 5: Solve for x
    x = 787,689,975,361/410,064
  6. Step 6: Final answer
    x = 1,920,895.21

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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.