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Finding the Third Proportional to 411,871 and 890,358

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Solution

The third proportional to 411,871 and 890,358 is: 1,924,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,871 : 890,358 = 890,358 : x
  2. Step 2: Convert to fraction form
    411,871/890,358 = 890,358/x
  3. Step 3: Cross multiply
    411,871x = 890,358 × 890,358
  4. Step 4: Simplify right side
    411,871x = 792,737,368,164
  5. Step 5: Solve for x
    x = 792,737,368,164/411,871
  6. Step 6: Final answer
    x = 1,924,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.