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Finding the Third Proportional to 463,194 and 1,009,620

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Solution

The third proportional to 463,194 and 1,009,620 is: 2,200,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,194 : 1,009,620 = 1,009,620 : x
  2. Step 2: Convert to fraction form
    463,194/1,009,620 = 1,009,620/x
  3. Step 3: Cross multiply
    463,194x = 1,009,620 × 1,009,620
  4. Step 4: Simplify right side
    463,194x = 1,019,332,544,400
  5. Step 5: Solve for x
    x = 1,019,332,544,400/463,194
  6. Step 6: Final answer
    x = 2,200,660.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.