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Finding the Third Proportional to 1,901,283.75 and 4,227,599.25

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Solution

The third proportional to 1,901,283.75 and 4,227,599.25 is: 9,400,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,283.75 : 4,227,599.25 = 4,227,599.25 : x
  2. Step 2: Convert to fraction form
    1,901,283.75/4,227,599.25 = 4,227,599.25/x
  3. Step 3: Cross multiply
    1,901,283.75x = 4,227,599.25 × 4,227,599.25
  4. Step 4: Simplify right side
    1,901,283.75x = 17,872,595,418,600.56
  5. Step 5: Solve for x
    x = 17,872,595,418,600.56/1,901,283.75
  6. Step 6: Final answer
    x = 9,400,277.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.