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Finding the Third Proportional to 732,970 and 1,576,748

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Solution

The third proportional to 732,970 and 1,576,748 is: 3,391,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,970 : 1,576,748 = 1,576,748 : x
  2. Step 2: Convert to fraction form
    732,970/1,576,748 = 1,576,748/x
  3. Step 3: Cross multiply
    732,970x = 1,576,748 × 1,576,748
  4. Step 4: Simplify right side
    732,970x = 2,486,134,255,504
  5. Step 5: Solve for x
    x = 2,486,134,255,504/732,970
  6. Step 6: Final answer
    x = 3,391,863.59

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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.