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Finding the Third Proportional to 2,782,973 and 5,986,674

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Solution

The third proportional to 2,782,973 and 5,986,674 is: 12,878,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,973 : 5,986,674 = 5,986,674 : x
  2. Step 2: Convert to fraction form
    2,782,973/5,986,674 = 5,986,674/x
  3. Step 3: Cross multiply
    2,782,973x = 5,986,674 × 5,986,674
  4. Step 4: Simplify right side
    2,782,973x = 35,840,265,582,276
  5. Step 5: Solve for x
    x = 35,840,265,582,276/2,782,973
  6. Step 6: Final answer
    x = 12,878,409.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.