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Finding the Third Proportional to 1,821,297 and 2,672,896.50

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Solution

The third proportional to 1,821,297 and 2,672,896.50 is: 3,922,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,297 : 2,672,896.50 = 2,672,896.50 : x
  2. Step 2: Convert to fraction form
    1,821,297/2,672,896.50 = 2,672,896.50/x
  3. Step 3: Cross multiply
    1,821,297x = 2,672,896.50 × 2,672,896.50
  4. Step 4: Simplify right side
    1,821,297x = 7,144,375,699,712.25
  5. Step 5: Solve for x
    x = 7,144,375,699,712.25/1,821,297
  6. Step 6: Final answer
    x = 3,922,685.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.