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Finding the Third Proportional to 409,102 and 875,060

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Solution

The third proportional to 409,102 and 875,060 is: 1,871,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,102 : 875,060 = 875,060 : x
  2. Step 2: Convert to fraction form
    409,102/875,060 = 875,060/x
  3. Step 3: Cross multiply
    409,102x = 875,060 × 875,060
  4. Step 4: Simplify right side
    409,102x = 765,730,003,600
  5. Step 5: Solve for x
    x = 765,730,003,600/409,102
  6. Step 6: Final answer
    x = 1,871,733.71

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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.