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Finding the Third Proportional to 1,843,117.50 and 2,884,962

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Solution

The third proportional to 1,843,117.50 and 2,884,962 is: 4,515,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,117.50 : 2,884,962 = 2,884,962 : x
  2. Step 2: Convert to fraction form
    1,843,117.50/2,884,962 = 2,884,962/x
  3. Step 3: Cross multiply
    1,843,117.50x = 2,884,962 × 2,884,962
  4. Step 4: Simplify right side
    1,843,117.50x = 8,323,005,741,444
  5. Step 5: Solve for x
    x = 8,323,005,741,444/1,843,117.50
  6. Step 6: Final answer
    x = 4,515,721.73

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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.