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Finding the Third Proportional to 803,196 and 1,177,962

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Solution

The third proportional to 803,196 and 1,177,962 is: 1,727,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,196 : 1,177,962 = 1,177,962 : x
  2. Step 2: Convert to fraction form
    803,196/1,177,962 = 1,177,962/x
  3. Step 3: Cross multiply
    803,196x = 1,177,962 × 1,177,962
  4. Step 4: Simplify right side
    803,196x = 1,387,594,473,444
  5. Step 5: Solve for x
    x = 1,387,594,473,444/803,196
  6. Step 6: Final answer
    x = 1,727,591.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.