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Finding the Third Proportional to 843,480 and 992,196

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Solution

The third proportional to 843,480 and 992,196 is: 1,167,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,480 : 992,196 = 992,196 : x
  2. Step 2: Convert to fraction form
    843,480/992,196 = 992,196/x
  3. Step 3: Cross multiply
    843,480x = 992,196 × 992,196
  4. Step 4: Simplify right side
    843,480x = 984,452,902,416
  5. Step 5: Solve for x
    x = 984,452,902,416/843,480
  6. Step 6: Final answer
    x = 1,167,132.48

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.