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Finding the Third Proportional to 1,236,570 and 2,684,637

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Solution

The third proportional to 1,236,570 and 2,684,637 is: 5,828,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,570 : 2,684,637 = 2,684,637 : x
  2. Step 2: Convert to fraction form
    1,236,570/2,684,637 = 2,684,637/x
  3. Step 3: Cross multiply
    1,236,570x = 2,684,637 × 2,684,637
  4. Step 4: Simplify right side
    1,236,570x = 7,207,275,821,769
  5. Step 5: Solve for x
    x = 7,207,275,821,769/1,236,570
  6. Step 6: Final answer
    x = 5,828,441.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.