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Finding the Third Proportional to 3,434,652 and 5,046,957

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Solution

The third proportional to 3,434,652 and 5,046,957 is: 7,416,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,652 : 5,046,957 = 5,046,957 : x
  2. Step 2: Convert to fraction form
    3,434,652/5,046,957 = 5,046,957/x
  3. Step 3: Cross multiply
    3,434,652x = 5,046,957 × 5,046,957
  4. Step 4: Simplify right side
    3,434,652x = 25,471,774,959,849
  5. Step 5: Solve for x
    x = 25,471,774,959,849/3,434,652
  6. Step 6: Final answer
    x = 7,416,115.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.