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Finding the Third Proportional to 2,787,968 and 3,925,948

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Solution

The third proportional to 2,787,968 and 3,925,948 is: 5,528,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787,968 : 3,925,948 = 3,925,948 : x
  2. Step 2: Convert to fraction form
    2,787,968/3,925,948 = 3,925,948/x
  3. Step 3: Cross multiply
    2,787,968x = 3,925,948 × 3,925,948
  4. Step 4: Simplify right side
    2,787,968x = 15,413,067,698,704
  5. Step 5: Solve for x
    x = 15,413,067,698,704/2,787,968
  6. Step 6: Final answer
    x = 5,528,423.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.