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Finding the Third Proportional to 857,385 and 1,261,291.50

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Solution

The third proportional to 857,385 and 1,261,291.50 is: 1,855,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,385 : 1,261,291.50 = 1,261,291.50 : x
  2. Step 2: Convert to fraction form
    857,385/1,261,291.50 = 1,261,291.50/x
  3. Step 3: Cross multiply
    857,385x = 1,261,291.50 × 1,261,291.50
  4. Step 4: Simplify right side
    857,385x = 1,590,856,247,972.25
  5. Step 5: Solve for x
    x = 1,590,856,247,972.25/857,385
  6. Step 6: Final answer
    x = 1,855,474.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.