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Finding the Third Proportional to 2,371,257 and 5,203,394

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Solution

The third proportional to 2,371,257 and 5,203,394 is: 11,418,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,257 : 5,203,394 = 5,203,394 : x
  2. Step 2: Convert to fraction form
    2,371,257/5,203,394 = 5,203,394/x
  3. Step 3: Cross multiply
    2,371,257x = 5,203,394 × 5,203,394
  4. Step 4: Simplify right side
    2,371,257x = 27,075,309,119,236
  5. Step 5: Solve for x
    x = 27,075,309,119,236/2,371,257
  6. Step 6: Final answer
    x = 11,418,125.12

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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.