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Finding the Third Proportional to 515,391.61 and 1,044,634.22

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Solution

The third proportional to 515,391.61 and 1,044,634.22 is: 2,117,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,391.61 : 1,044,634.22 = 1,044,634.22 : x
  2. Step 2: Convert to fraction form
    515,391.61/1,044,634.22 = 1,044,634.22/x
  3. Step 3: Cross multiply
    515,391.61x = 1,044,634.22 × 1,044,634.22
  4. Step 4: Simplify right side
    515,391.61x = 1,091,260,650,983.42
  5. Step 5: Solve for x
    x = 1,091,260,650,983.42/515,391.61
  6. Step 6: Final answer
    x = 2,117,342.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.