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Finding the Third Proportional to 1,919,394 and 4,200,372

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Solution

The third proportional to 1,919,394 and 4,200,372 is: 9,192,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,394 : 4,200,372 = 4,200,372 : x
  2. Step 2: Convert to fraction form
    1,919,394/4,200,372 = 4,200,372/x
  3. Step 3: Cross multiply
    1,919,394x = 4,200,372 × 4,200,372
  4. Step 4: Simplify right side
    1,919,394x = 17,643,124,938,384
  5. Step 5: Solve for x
    x = 17,643,124,938,384/1,919,394
  6. Step 6: Final answer
    x = 9,192,028.81

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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.