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Finding the Third Proportional to 1,226,205 and 2,694,346.50

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Solution

The third proportional to 1,226,205 and 2,694,346.50 is: 5,920,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,205 : 2,694,346.50 = 2,694,346.50 : x
  2. Step 2: Convert to fraction form
    1,226,205/2,694,346.50 = 2,694,346.50/x
  3. Step 3: Cross multiply
    1,226,205x = 2,694,346.50 × 2,694,346.50
  4. Step 4: Simplify right side
    1,226,205x = 7,259,503,062,062.25
  5. Step 5: Solve for x
    x = 7,259,503,062,062.25/1,226,205
  6. Step 6: Final answer
    x = 5,920,301.31

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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.