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Finding the Third Proportional to 2,851,716 and 5,939,328

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Solution

The third proportional to 2,851,716 and 5,939,328 is: 12,369,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,716 : 5,939,328 = 5,939,328 : x
  2. Step 2: Convert to fraction form
    2,851,716/5,939,328 = 5,939,328/x
  3. Step 3: Cross multiply
    2,851,716x = 5,939,328 × 5,939,328
  4. Step 4: Simplify right side
    2,851,716x = 35,275,617,091,584
  5. Step 5: Solve for x
    x = 35,275,617,091,584/2,851,716
  6. Step 6: Final answer
    x = 12,369,961.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.