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Finding the Third Proportional to 1,957,775.06 and 4,242,187.69

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Solution

The third proportional to 1,957,775.06 and 4,242,187.69 is: 9,192,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,775.06 : 4,242,187.69 = 4,242,187.69 : x
  2. Step 2: Convert to fraction form
    1,957,775.06/4,242,187.69 = 4,242,187.69/x
  3. Step 3: Cross multiply
    1,957,775.06x = 4,242,187.69 × 4,242,187.69
  4. Step 4: Simplify right side
    1,957,775.06x = 17,996,156,375,976.60
  5. Step 5: Solve for x
    x = 17,996,156,375,976.60/1,957,775.06
  6. Step 6: Final answer
    x = 9,192,147.11

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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.