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Finding the Third Proportional to 2,142,792.25 and 4,576,190.66

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Solution

The third proportional to 2,142,792.25 and 4,576,190.66 is: 9,773,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,792.25 : 4,576,190.66 = 4,576,190.66 : x
  2. Step 2: Convert to fraction form
    2,142,792.25/4,576,190.66 = 4,576,190.66/x
  3. Step 3: Cross multiply
    2,142,792.25x = 4,576,190.66 × 4,576,190.66
  4. Step 4: Simplify right side
    2,142,792.25x = 20,941,520,958,100.84
  5. Step 5: Solve for x
    x = 20,941,520,958,100.84/2,142,792.25
  6. Step 6: Final answer
    x = 9,773,005.76

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