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Finding the Third Proportional to 1,866,649.50 and 3,989,175

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Solution

The third proportional to 1,866,649.50 and 3,989,175 is: 8,525,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,649.50 : 3,989,175 = 3,989,175 : x
  2. Step 2: Convert to fraction form
    1,866,649.50/3,989,175 = 3,989,175/x
  3. Step 3: Cross multiply
    1,866,649.50x = 3,989,175 × 3,989,175
  4. Step 4: Simplify right side
    1,866,649.50x = 15,913,517,180,625
  5. Step 5: Solve for x
    x = 15,913,517,180,625/1,866,649.50
  6. Step 6: Final answer
    x = 8,525,176.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.