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Finding the Third Proportional to 409,396 and 881,000

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Solution

The third proportional to 409,396 and 881,000 is: 1,895,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,396 : 881,000 = 881,000 : x
  2. Step 2: Convert to fraction form
    409,396/881,000 = 881,000/x
  3. Step 3: Cross multiply
    409,396x = 881,000 × 881,000
  4. Step 4: Simplify right side
    409,396x = 776,161,000,000
  5. Step 5: Solve for x
    x = 776,161,000,000/409,396
  6. Step 6: Final answer
    x = 1,895,868.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.