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Finding the Third Proportional to 745,972 and 1,609,880

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Solution

The third proportional to 745,972 and 1,609,880 is: 3,474,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,972 : 1,609,880 = 1,609,880 : x
  2. Step 2: Convert to fraction form
    745,972/1,609,880 = 1,609,880/x
  3. Step 3: Cross multiply
    745,972x = 1,609,880 × 1,609,880
  4. Step 4: Simplify right side
    745,972x = 2,591,713,614,400
  5. Step 5: Solve for x
    x = 2,591,713,614,400/745,972
  6. Step 6: Final answer
    x = 3,474,277.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.