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Finding the Third Proportional to 2,054,841.75 and 3,223,324.13

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Solution

The third proportional to 2,054,841.75 and 3,223,324.13 is: 5,056,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,841.75 : 3,223,324.13 = 3,223,324.13 : x
  2. Step 2: Convert to fraction form
    2,054,841.75/3,223,324.13 = 3,223,324.13/x
  3. Step 3: Cross multiply
    2,054,841.75x = 3,223,324.13 × 3,223,324.13
  4. Step 4: Simplify right side
    2,054,841.75x = 10,389,818,414,807.02
  5. Step 5: Solve for x
    x = 10,389,818,414,807.02/2,054,841.75
  6. Step 6: Final answer
    x = 5,056,262.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.