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Finding the Third Proportional to 409,137 and 875,136

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Solution

The third proportional to 409,137 and 875,136 is: 1,871,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,137 : 875,136 = 875,136 : x
  2. Step 2: Convert to fraction form
    409,137/875,136 = 875,136/x
  3. Step 3: Cross multiply
    409,137x = 875,136 × 875,136
  4. Step 4: Simplify right side
    409,137x = 765,863,018,496
  5. Step 5: Solve for x
    x = 765,863,018,496/409,137
  6. Step 6: Final answer
    x = 1,871,898.70

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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.