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Finding the Third Proportional to 410,132 and 878,584

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Solution

The third proportional to 410,132 and 878,584 is: 1,882,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,132 : 878,584 = 878,584 : x
  2. Step 2: Convert to fraction form
    410,132/878,584 = 878,584/x
  3. Step 3: Cross multiply
    410,132x = 878,584 × 878,584
  4. Step 4: Simplify right side
    410,132x = 771,909,845,056
  5. Step 5: Solve for x
    x = 771,909,845,056/410,132
  6. Step 6: Final answer
    x = 1,882,100.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.