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Finding the Third Proportional to 1,606,429 and 3,378,523

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Solution

The third proportional to 1,606,429 and 3,378,523 is: 7,105,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,429 : 3,378,523 = 3,378,523 : x
  2. Step 2: Convert to fraction form
    1,606,429/3,378,523 = 3,378,523/x
  3. Step 3: Cross multiply
    1,606,429x = 3,378,523 × 3,378,523
  4. Step 4: Simplify right side
    1,606,429x = 11,414,417,661,529
  5. Step 5: Solve for x
    x = 11,414,417,661,529/1,606,429
  6. Step 6: Final answer
    x = 7,105,460.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.