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Finding the Third Proportional to 825,175.13 and 1,262,272.50

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Solution

The third proportional to 825,175.13 and 1,262,272.50 is: 1,930,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,175.13 : 1,262,272.50 = 1,262,272.50 : x
  2. Step 2: Convert to fraction form
    825,175.13/1,262,272.50 = 1,262,272.50/x
  3. Step 3: Cross multiply
    825,175.13x = 1,262,272.50 × 1,262,272.50
  4. Step 4: Simplify right side
    825,175.13x = 1,593,331,864,256.25
  5. Step 5: Solve for x
    x = 1,593,331,864,256.25/825,175.13
  6. Step 6: Final answer
    x = 1,930,901.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.