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Finding the Third Proportional to 878,123 and 1,825,132

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Solution

The third proportional to 878,123 and 1,825,132 is: 3,793,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,123 : 1,825,132 = 1,825,132 : x
  2. Step 2: Convert to fraction form
    878,123/1,825,132 = 1,825,132/x
  3. Step 3: Cross multiply
    878,123x = 1,825,132 × 1,825,132
  4. Step 4: Simplify right side
    878,123x = 3,331,106,817,424
  5. Step 5: Solve for x
    x = 3,331,106,817,424/878,123
  6. Step 6: Final answer
    x = 3,793,439.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.