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Finding the Third Proportional to 2,734,078.50 and 5,983,053.75

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Solution

The third proportional to 2,734,078.50 and 5,983,053.75 is: 13,092,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,078.50 : 5,983,053.75 = 5,983,053.75 : x
  2. Step 2: Convert to fraction form
    2,734,078.50/5,983,053.75 = 5,983,053.75/x
  3. Step 3: Cross multiply
    2,734,078.50x = 5,983,053.75 × 5,983,053.75
  4. Step 4: Simplify right side
    2,734,078.50x = 35,796,932,175,389.06
  5. Step 5: Solve for x
    x = 35,796,932,175,389.06/2,734,078.50
  6. Step 6: Final answer
    x = 13,092,869.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.