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Finding the Third Proportional to 884,836 and 1,361,882

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Solution

The third proportional to 884,836 and 1,361,882 is: 2,096,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,836 : 1,361,882 = 1,361,882 : x
  2. Step 2: Convert to fraction form
    884,836/1,361,882 = 1,361,882/x
  3. Step 3: Cross multiply
    884,836x = 1,361,882 × 1,361,882
  4. Step 4: Simplify right side
    884,836x = 1,854,722,581,924
  5. Step 5: Solve for x
    x = 1,854,722,581,924/884,836
  6. Step 6: Final answer
    x = 2,096,120.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.