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Finding the Third Proportional to 2,106,040 and 4,548,310

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Solution

The third proportional to 2,106,040 and 4,548,310 is: 9,822,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,040 : 4,548,310 = 4,548,310 : x
  2. Step 2: Convert to fraction form
    2,106,040/4,548,310 = 4,548,310/x
  3. Step 3: Cross multiply
    2,106,040x = 4,548,310 × 4,548,310
  4. Step 4: Simplify right side
    2,106,040x = 20,687,123,856,100
  5. Step 5: Solve for x
    x = 20,687,123,856,100/2,106,040
  6. Step 6: Final answer
    x = 9,822,759.23

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