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Finding the Third Proportional to 2,452,232 and 3,643,348

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Solution

The third proportional to 2,452,232 and 3,643,348 is: 5,413,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,232 : 3,643,348 = 3,643,348 : x
  2. Step 2: Convert to fraction form
    2,452,232/3,643,348 = 3,643,348/x
  3. Step 3: Cross multiply
    2,452,232x = 3,643,348 × 3,643,348
  4. Step 4: Simplify right side
    2,452,232x = 13,273,984,649,104
  5. Step 5: Solve for x
    x = 13,273,984,649,104/2,452,232
  6. Step 6: Final answer
    x = 5,413,021.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.