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Finding the Third Proportional to 1,252,641 and 2,682,430

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Solution

The third proportional to 1,252,641 and 2,682,430 is: 5,744,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,641 : 2,682,430 = 2,682,430 : x
  2. Step 2: Convert to fraction form
    1,252,641/2,682,430 = 2,682,430/x
  3. Step 3: Cross multiply
    1,252,641x = 2,682,430 × 2,682,430
  4. Step 4: Simplify right side
    1,252,641x = 7,195,430,704,900
  5. Step 5: Solve for x
    x = 7,195,430,704,900/1,252,641
  6. Step 6: Final answer
    x = 5,744,208.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.