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Finding the Third Proportional to 730,176 and 1,121,856

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Solution

The third proportional to 730,176 and 1,121,856 is: 1,723,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,176 : 1,121,856 = 1,121,856 : x
  2. Step 2: Convert to fraction form
    730,176/1,121,856 = 1,121,856/x
  3. Step 3: Cross multiply
    730,176x = 1,121,856 × 1,121,856
  4. Step 4: Simplify right side
    730,176x = 1,258,560,884,736
  5. Step 5: Solve for x
    x = 1,258,560,884,736/730,176
  6. Step 6: Final answer
    x = 1,723,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.