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Finding the Third Proportional to 654,314 and 959,871

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Solution

The third proportional to 654,314 and 959,871 is: 1,408,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,314 : 959,871 = 959,871 : x
  2. Step 2: Convert to fraction form
    654,314/959,871 = 959,871/x
  3. Step 3: Cross multiply
    654,314x = 959,871 × 959,871
  4. Step 4: Simplify right side
    654,314x = 921,352,336,641
  5. Step 5: Solve for x
    x = 921,352,336,641/654,314
  6. Step 6: Final answer
    x = 1,408,119.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.