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Finding the Third Proportional to 797,952 and 1,194,228

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Solution

The third proportional to 797,952 and 1,194,228 is: 1,787,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,952 : 1,194,228 = 1,194,228 : x
  2. Step 2: Convert to fraction form
    797,952/1,194,228 = 1,194,228/x
  3. Step 3: Cross multiply
    797,952x = 1,194,228 × 1,194,228
  4. Step 4: Simplify right side
    797,952x = 1,426,180,515,984
  5. Step 5: Solve for x
    x = 1,426,180,515,984/797,952
  6. Step 6: Final answer
    x = 1,787,301.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.