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Finding the Third Proportional to 1,205,455.50 and 2,651,967

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Solution

The third proportional to 1,205,455.50 and 2,651,967 is: 5,834,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,455.50 : 2,651,967 = 2,651,967 : x
  2. Step 2: Convert to fraction form
    1,205,455.50/2,651,967 = 2,651,967/x
  3. Step 3: Cross multiply
    1,205,455.50x = 2,651,967 × 2,651,967
  4. Step 4: Simplify right side
    1,205,455.50x = 7,032,928,969,089
  5. Step 5: Solve for x
    x = 7,032,928,969,089/1,205,455.50
  6. Step 6: Final answer
    x = 5,834,250.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.