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Finding the Third Proportional to 576,717.47 and 1,262,048.34

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Solution

The third proportional to 576,717.47 and 1,262,048.34 is: 2,761,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,717.47 : 1,262,048.34 = 1,262,048.34 : x
  2. Step 2: Convert to fraction form
    576,717.47/1,262,048.34 = 1,262,048.34/x
  3. Step 3: Cross multiply
    576,717.47x = 1,262,048.34 × 1,262,048.34
  4. Step 4: Simplify right side
    576,717.47x = 1,592,766,021,962.12
  5. Step 5: Solve for x
    x = 1,592,766,021,962.12/576,717.47
  6. Step 6: Final answer
    x = 2,761,778.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.