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Finding the Third Proportional to 730,180 and 1,568,306

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Solution

The third proportional to 730,180 and 1,568,306 is: 3,368,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,180 : 1,568,306 = 1,568,306 : x
  2. Step 2: Convert to fraction form
    730,180/1,568,306 = 1,568,306/x
  3. Step 3: Cross multiply
    730,180x = 1,568,306 × 1,568,306
  4. Step 4: Simplify right side
    730,180x = 2,459,583,709,636
  5. Step 5: Solve for x
    x = 2,459,583,709,636/730,180
  6. Step 6: Final answer
    x = 3,368,462.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.