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Finding the Third Proportional to 409,116 and 875,094

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Solution

The third proportional to 409,116 and 875,094 is: 1,871,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,116 : 875,094 = 875,094 : x
  2. Step 2: Convert to fraction form
    409,116/875,094 = 875,094/x
  3. Step 3: Cross multiply
    409,116x = 875,094 × 875,094
  4. Step 4: Simplify right side
    409,116x = 765,789,508,836
  5. Step 5: Solve for x
    x = 765,789,508,836/409,116
  6. Step 6: Final answer
    x = 1,871,815.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.