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Finding the Third Proportional to 2,784,351 and 4,430,493

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Solution

The third proportional to 2,784,351 and 4,430,493 is: 7,049,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,351 : 4,430,493 = 4,430,493 : x
  2. Step 2: Convert to fraction form
    2,784,351/4,430,493 = 4,430,493/x
  3. Step 3: Cross multiply
    2,784,351x = 4,430,493 × 4,430,493
  4. Step 4: Simplify right side
    2,784,351x = 19,629,268,223,049
  5. Step 5: Solve for x
    x = 19,629,268,223,049/2,784,351
  6. Step 6: Final answer
    x = 7,049,854.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.