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Finding the Third Proportional to 738,595.88 and 1,606,601.06

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Solution

The third proportional to 738,595.88 and 1,606,601.06 is: 3,494,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,595.88 : 1,606,601.06 = 1,606,601.06 : x
  2. Step 2: Convert to fraction form
    738,595.88/1,606,601.06 = 1,606,601.06/x
  3. Step 3: Cross multiply
    738,595.88x = 1,606,601.06 × 1,606,601.06
  4. Step 4: Simplify right side
    738,595.88x = 2,581,166,974,026.13
  5. Step 5: Solve for x
    x = 2,581,166,974,026.13/738,595.88
  6. Step 6: Final answer
    x = 3,494,694.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.