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Finding the Third Proportional to 2,095,523 and 3,203,428

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Solution

The third proportional to 2,095,523 and 3,203,428 is: 4,897,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,523 : 3,203,428 = 3,203,428 : x
  2. Step 2: Convert to fraction form
    2,095,523/3,203,428 = 3,203,428/x
  3. Step 3: Cross multiply
    2,095,523x = 3,203,428 × 3,203,428
  4. Step 4: Simplify right side
    2,095,523x = 10,261,950,951,184
  5. Step 5: Solve for x
    x = 10,261,950,951,184/2,095,523
  6. Step 6: Final answer
    x = 4,897,083.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.