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Finding the Third Proportional to 2,291,874.75 and 4,856,952.38

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Solution

The third proportional to 2,291,874.75 and 4,856,952.38 is: 10,292,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,874.75 : 4,856,952.38 = 4,856,952.38 : x
  2. Step 2: Convert to fraction form
    2,291,874.75/4,856,952.38 = 4,856,952.38/x
  3. Step 3: Cross multiply
    2,291,874.75x = 4,856,952.38 × 4,856,952.38
  4. Step 4: Simplify right side
    2,291,874.75x = 23,589,986,373,018.14
  5. Step 5: Solve for x
    x = 23,589,986,373,018.14/2,291,874.75
  6. Step 6: Final answer
    x = 10,292,877.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.