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Finding the Third Proportional to 738,596 and 1,606,602

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Solution

The third proportional to 738,596 and 1,606,602 is: 3,494,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,596 : 1,606,602 = 1,606,602 : x
  2. Step 2: Convert to fraction form
    738,596/1,606,602 = 1,606,602/x
  3. Step 3: Cross multiply
    738,596x = 1,606,602 × 1,606,602
  4. Step 4: Simplify right side
    738,596x = 2,581,169,986,404
  5. Step 5: Solve for x
    x = 2,581,169,986,404/738,596
  6. Step 6: Final answer
    x = 3,494,698.03

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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.