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Finding the Third Proportional to 1,511,831.25 and 3,264,165

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Solution

The third proportional to 1,511,831.25 and 3,264,165 is: 7,047,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,831.25 : 3,264,165 = 3,264,165 : x
  2. Step 2: Convert to fraction form
    1,511,831.25/3,264,165 = 3,264,165/x
  3. Step 3: Cross multiply
    1,511,831.25x = 3,264,165 × 3,264,165
  4. Step 4: Simplify right side
    1,511,831.25x = 10,654,773,147,225
  5. Step 5: Solve for x
    x = 10,654,773,147,225/1,511,831.25
  6. Step 6: Final answer
    x = 7,047,594.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.