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Finding the Third Proportional to 2,142,791 and 4,576,189

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Solution

The third proportional to 2,142,791 and 4,576,189 is: 9,773,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,791 : 4,576,189 = 4,576,189 : x
  2. Step 2: Convert to fraction form
    2,142,791/4,576,189 = 4,576,189/x
  3. Step 3: Cross multiply
    2,142,791x = 4,576,189 × 4,576,189
  4. Step 4: Simplify right side
    2,142,791x = 20,941,505,763,721
  5. Step 5: Solve for x
    x = 20,941,505,763,721/2,142,791
  6. Step 6: Final answer
    x = 9,773,004.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.