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Finding the Third Proportional to 1,029,840.50 and 2,242,759

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Solution

The third proportional to 1,029,840.50 and 2,242,759 is: 4,884,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,840.50 : 2,242,759 = 2,242,759 : x
  2. Step 2: Convert to fraction form
    1,029,840.50/2,242,759 = 2,242,759/x
  3. Step 3: Cross multiply
    1,029,840.50x = 2,242,759 × 2,242,759
  4. Step 4: Simplify right side
    1,029,840.50x = 5,029,967,932,081
  5. Step 5: Solve for x
    x = 5,029,967,932,081/1,029,840.50
  6. Step 6: Final answer
    x = 4,884,220.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.