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Finding the Third Proportional to 599,382 and 1,275,044

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Solution

The third proportional to 599,382 and 1,275,044 is: 2,712,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,382 : 1,275,044 = 1,275,044 : x
  2. Step 2: Convert to fraction form
    599,382/1,275,044 = 1,275,044/x
  3. Step 3: Cross multiply
    599,382x = 1,275,044 × 1,275,044
  4. Step 4: Simplify right side
    599,382x = 1,625,737,201,936
  5. Step 5: Solve for x
    x = 1,625,737,201,936/599,382
  6. Step 6: Final answer
    x = 2,712,355.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.