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Finding the Third Proportional to 2,782,938 and 5,986,587

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Solution

The third proportional to 2,782,938 and 5,986,587 is: 12,878,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,938 : 5,986,587 = 5,986,587 : x
  2. Step 2: Convert to fraction form
    2,782,938/5,986,587 = 5,986,587/x
  3. Step 3: Cross multiply
    2,782,938x = 5,986,587 × 5,986,587
  4. Step 4: Simplify right side
    2,782,938x = 35,839,223,908,569
  5. Step 5: Solve for x
    x = 35,839,223,908,569/2,782,938
  6. Step 6: Final answer
    x = 12,878,197.04

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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.