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Finding the Third Proportional to 410,035 and 887,462

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Solution

The third proportional to 410,035 and 887,462 is: 1,920,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,035 : 887,462 = 887,462 : x
  2. Step 2: Convert to fraction form
    410,035/887,462 = 887,462/x
  3. Step 3: Cross multiply
    410,035x = 887,462 × 887,462
  4. Step 4: Simplify right side
    410,035x = 787,588,801,444
  5. Step 5: Solve for x
    x = 787,588,801,444/410,035
  6. Step 6: Final answer
    x = 1,920,784.33

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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.