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Finding the Third Proportional to 861,123 and 1,886,406

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Solution

The third proportional to 861,123 and 1,886,406 is: 4,132,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,123 : 1,886,406 = 1,886,406 : x
  2. Step 2: Convert to fraction form
    861,123/1,886,406 = 1,886,406/x
  3. Step 3: Cross multiply
    861,123x = 1,886,406 × 1,886,406
  4. Step 4: Simplify right side
    861,123x = 3,558,527,596,836
  5. Step 5: Solve for x
    x = 3,558,527,596,836/861,123
  6. Step 6: Final answer
    x = 4,132,426.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.