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Finding the Third Proportional to 730,208 and 1,568,356

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Solution

The third proportional to 730,208 and 1,568,356 is: 3,368,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,208 : 1,568,356 = 1,568,356 : x
  2. Step 2: Convert to fraction form
    730,208/1,568,356 = 1,568,356/x
  3. Step 3: Cross multiply
    730,208x = 1,568,356 × 1,568,356
  4. Step 4: Simplify right side
    730,208x = 2,459,740,542,736
  5. Step 5: Solve for x
    x = 2,459,740,542,736/730,208
  6. Step 6: Final answer
    x = 3,368,547.79

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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.