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Finding the Third Proportional to 2,746,908 and 4,202,010

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Solution

The third proportional to 2,746,908 and 4,202,010 is: 6,427,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,908 : 4,202,010 = 4,202,010 : x
  2. Step 2: Convert to fraction form
    2,746,908/4,202,010 = 4,202,010/x
  3. Step 3: Cross multiply
    2,746,908x = 4,202,010 × 4,202,010
  4. Step 4: Simplify right side
    2,746,908x = 17,656,888,040,100
  5. Step 5: Solve for x
    x = 17,656,888,040,100/2,746,908
  6. Step 6: Final answer
    x = 6,427,913.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.