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Finding the Third Proportional to 632,865 and 1,364,688

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Solution

The third proportional to 632,865 and 1,364,688 is: 2,942,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,865 : 1,364,688 = 1,364,688 : x
  2. Step 2: Convert to fraction form
    632,865/1,364,688 = 1,364,688/x
  3. Step 3: Cross multiply
    632,865x = 1,364,688 × 1,364,688
  4. Step 4: Simplify right side
    632,865x = 1,862,373,337,344
  5. Step 5: Solve for x
    x = 1,862,373,337,344/632,865
  6. Step 6: Final answer
    x = 2,942,765.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.