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Finding the Third Proportional to 857,123 and 1,866,631

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Solution

The third proportional to 857,123 and 1,866,631 is: 4,065,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,123 : 1,866,631 = 1,866,631 : x
  2. Step 2: Convert to fraction form
    857,123/1,866,631 = 1,866,631/x
  3. Step 3: Cross multiply
    857,123x = 1,866,631 × 1,866,631
  4. Step 4: Simplify right side
    857,123x = 3,484,311,290,161
  5. Step 5: Solve for x
    x = 3,484,311,290,161/857,123
  6. Step 6: Final answer
    x = 4,065,124.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.