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Finding the Third Proportional to 732,256 and 1,576,868

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Solution

The third proportional to 732,256 and 1,576,868 is: 3,395,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,256 : 1,576,868 = 1,576,868 : x
  2. Step 2: Convert to fraction form
    732,256/1,576,868 = 1,576,868/x
  3. Step 3: Cross multiply
    732,256x = 1,576,868 × 1,576,868
  4. Step 4: Simplify right side
    732,256x = 2,486,512,689,424
  5. Step 5: Solve for x
    x = 2,486,512,689,424/732,256
  6. Step 6: Final answer
    x = 3,395,687.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.