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Finding the Third Proportional to 1,205,503.50 and 2,578,788

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Solution

The third proportional to 1,205,503.50 and 2,578,788 is: 5,516,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,503.50 : 2,578,788 = 2,578,788 : x
  2. Step 2: Convert to fraction form
    1,205,503.50/2,578,788 = 2,578,788/x
  3. Step 3: Cross multiply
    1,205,503.50x = 2,578,788 × 2,578,788
  4. Step 4: Simplify right side
    1,205,503.50x = 6,650,147,548,944
  5. Step 5: Solve for x
    x = 6,650,147,548,944/1,205,503.50
  6. Step 6: Final answer
    x = 5,516,489.62

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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.