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Finding the Third Proportional to 1,759,889.25 and 4,238,274.38

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Solution

The third proportional to 1,759,889.25 and 4,238,274.38 is: 10,206,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759,889.25 : 4,238,274.38 = 4,238,274.38 : x
  2. Step 2: Convert to fraction form
    1,759,889.25/4,238,274.38 = 4,238,274.38/x
  3. Step 3: Cross multiply
    1,759,889.25x = 4,238,274.38 × 4,238,274.38
  4. Step 4: Simplify right side
    1,759,889.25x = 17,962,969,677,781.64
  5. Step 5: Solve for x
    x = 17,962,969,677,781.64/1,759,889.25
  6. Step 6: Final answer
    x = 10,206,875.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.