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Finding the Third Proportional to 1,641,264 and 2,637,041

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Solution

The third proportional to 1,641,264 and 2,637,041 is: 4,236,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,264 : 2,637,041 = 2,637,041 : x
  2. Step 2: Convert to fraction form
    1,641,264/2,637,041 = 2,637,041/x
  3. Step 3: Cross multiply
    1,641,264x = 2,637,041 × 2,637,041
  4. Step 4: Simplify right side
    1,641,264x = 6,953,985,235,681
  5. Step 5: Solve for x
    x = 6,953,985,235,681/1,641,264
  6. Step 6: Final answer
    x = 4,236,969.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.