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Finding the Third Proportional to 1,228,830.75 and 2,693,837.25

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Solution

The third proportional to 1,228,830.75 and 2,693,837.25 is: 5,905,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,830.75 : 2,693,837.25 = 2,693,837.25 : x
  2. Step 2: Convert to fraction form
    1,228,830.75/2,693,837.25 = 2,693,837.25/x
  3. Step 3: Cross multiply
    1,228,830.75x = 2,693,837.25 × 2,693,837.25
  4. Step 4: Simplify right side
    1,228,830.75x = 7,256,759,129,487.56
  5. Step 5: Solve for x
    x = 7,256,759,129,487.56/1,228,830.75
  6. Step 6: Final answer
    x = 5,905,417.92

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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.