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Finding the Third Proportional to 738,604 and 1,606,617

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Solution

The third proportional to 738,604 and 1,606,617 is: 3,494,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,604 : 1,606,617 = 1,606,617 : x
  2. Step 2: Convert to fraction form
    738,604/1,606,617 = 1,606,617/x
  3. Step 3: Cross multiply
    738,604x = 1,606,617 × 1,606,617
  4. Step 4: Simplify right side
    738,604x = 2,581,218,184,689
  5. Step 5: Solve for x
    x = 2,581,218,184,689/738,604
  6. Step 6: Final answer
    x = 3,494,725.43

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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.