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Finding the Third Proportional to 825,197.63 and 1,262,316.66

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Solution

The third proportional to 825,197.63 and 1,262,316.66 is: 1,930,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,197.63 : 1,262,316.66 = 1,262,316.66 : x
  2. Step 2: Convert to fraction form
    825,197.63/1,262,316.66 = 1,262,316.66/x
  3. Step 3: Cross multiply
    825,197.63x = 1,262,316.66 × 1,262,316.66
  4. Step 4: Simplify right side
    825,197.63x = 1,593,443,340,646.18
  5. Step 5: Solve for x
    x = 1,593,443,340,646.18/825,197.63
  6. Step 6: Final answer
    x = 1,930,983.92

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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.