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Finding the Third Proportional to 732,963 and 1,576,734

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Solution

The third proportional to 732,963 and 1,576,734 is: 3,391,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,963 : 1,576,734 = 1,576,734 : x
  2. Step 2: Convert to fraction form
    732,963/1,576,734 = 1,576,734/x
  3. Step 3: Cross multiply
    732,963x = 1,576,734 × 1,576,734
  4. Step 4: Simplify right side
    732,963x = 2,486,090,106,756
  5. Step 5: Solve for x
    x = 2,486,090,106,756/732,963
  6. Step 6: Final answer
    x = 3,391,835.75

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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.