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Finding the Third Proportional to 409,102 and 875,062

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Solution

The third proportional to 409,102 and 875,062 is: 1,871,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,102 : 875,062 = 875,062 : x
  2. Step 2: Convert to fraction form
    409,102/875,062 = 875,062/x
  3. Step 3: Cross multiply
    409,102x = 875,062 × 875,062
  4. Step 4: Simplify right side
    409,102x = 765,733,503,844
  5. Step 5: Solve for x
    x = 765,733,503,844/409,102
  6. Step 6: Final answer
    x = 1,871,742.26

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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.