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Finding the Third Proportional to 3,096,277 and 4,782,470

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Solution

The third proportional to 3,096,277 and 4,782,470 is: 7,386,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,277 : 4,782,470 = 4,782,470 : x
  2. Step 2: Convert to fraction form
    3,096,277/4,782,470 = 4,782,470/x
  3. Step 3: Cross multiply
    3,096,277x = 4,782,470 × 4,782,470
  4. Step 4: Simplify right side
    3,096,277x = 22,872,019,300,900
  5. Step 5: Solve for x
    x = 22,872,019,300,900/3,096,277
  6. Step 6: Final answer
    x = 7,386,942.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.