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Finding the Third Proportional to 438,182 and 897,132

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Solution

The third proportional to 438,182 and 897,132 is: 1,836,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,182 : 897,132 = 897,132 : x
  2. Step 2: Convert to fraction form
    438,182/897,132 = 897,132/x
  3. Step 3: Cross multiply
    438,182x = 897,132 × 897,132
  4. Step 4: Simplify right side
    438,182x = 804,845,825,424
  5. Step 5: Solve for x
    x = 804,845,825,424/438,182
  6. Step 6: Final answer
    x = 1,836,784.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.