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Finding the Third Proportional to 1,375,297 and 2,065,543.50

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Solution

The third proportional to 1,375,297 and 2,065,543.50 is: 3,102,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,297 : 2,065,543.50 = 2,065,543.50 : x
  2. Step 2: Convert to fraction form
    1,375,297/2,065,543.50 = 2,065,543.50/x
  3. Step 3: Cross multiply
    1,375,297x = 2,065,543.50 × 2,065,543.50
  4. Step 4: Simplify right side
    1,375,297x = 4,266,469,950,392.25
  5. Step 5: Solve for x
    x = 4,266,469,950,392.25/1,375,297
  6. Step 6: Final answer
    x = 3,102,217.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.