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Finding the Third Proportional to 641,829.66 and 1,390,684.78

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Solution

The third proportional to 641,829.66 and 1,390,684.78 is: 3,013,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,829.66 : 1,390,684.78 = 1,390,684.78 : x
  2. Step 2: Convert to fraction form
    641,829.66/1,390,684.78 = 1,390,684.78/x
  3. Step 3: Cross multiply
    641,829.66x = 1,390,684.78 × 1,390,684.78
  4. Step 4: Simplify right side
    641,829.66x = 1,934,004,160,800.36
  5. Step 5: Solve for x
    x = 1,934,004,160,800.36/641,829.66
  6. Step 6: Final answer
    x = 3,013,267.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.