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Finding the Third Proportional to 816,932 and 1,236,475

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Solution

The third proportional to 816,932 and 1,236,475 is: 1,871,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,932 : 1,236,475 = 1,236,475 : x
  2. Step 2: Convert to fraction form
    816,932/1,236,475 = 1,236,475/x
  3. Step 3: Cross multiply
    816,932x = 1,236,475 × 1,236,475
  4. Step 4: Simplify right side
    816,932x = 1,528,870,425,625
  5. Step 5: Solve for x
    x = 1,528,870,425,625/816,932
  6. Step 6: Final answer
    x = 1,871,478.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.