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Finding the Third Proportional to 410,112 and 881,536

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Solution

The third proportional to 410,112 and 881,536 is: 1,894,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,112 : 881,536 = 881,536 : x
  2. Step 2: Convert to fraction form
    410,112/881,536 = 881,536/x
  3. Step 3: Cross multiply
    410,112x = 881,536 × 881,536
  4. Step 4: Simplify right side
    410,112x = 777,105,719,296
  5. Step 5: Solve for x
    x = 777,105,719,296/410,112
  6. Step 6: Final answer
    x = 1,894,862.18

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