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Finding the Third Proportional to 410,442 and 881,994

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Solution

The third proportional to 410,442 and 881,994 is: 1,895,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,442 : 881,994 = 881,994 : x
  2. Step 2: Convert to fraction form
    410,442/881,994 = 881,994/x
  3. Step 3: Cross multiply
    410,442x = 881,994 × 881,994
  4. Step 4: Simplify right side
    410,442x = 777,913,416,036
  5. Step 5: Solve for x
    x = 777,913,416,036/410,442
  6. Step 6: Final answer
    x = 1,895,306.56

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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.