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Finding the Third Proportional to 732,960 and 1,576,728

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Solution

The third proportional to 732,960 and 1,576,728 is: 3,391,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,960 : 1,576,728 = 1,576,728 : x
  2. Step 2: Convert to fraction form
    732,960/1,576,728 = 1,576,728/x
  3. Step 3: Cross multiply
    732,960x = 1,576,728 × 1,576,728
  4. Step 4: Simplify right side
    732,960x = 2,486,071,185,984
  5. Step 5: Solve for x
    x = 2,486,071,185,984/732,960
  6. Step 6: Final answer
    x = 3,391,823.82

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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.