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Finding the Third Proportional to 608,632 and 890,412

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Solution

The third proportional to 608,632 and 890,412 is: 1,302,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,632 : 890,412 = 890,412 : x
  2. Step 2: Convert to fraction form
    608,632/890,412 = 890,412/x
  3. Step 3: Cross multiply
    608,632x = 890,412 × 890,412
  4. Step 4: Simplify right side
    608,632x = 792,833,529,744
  5. Step 5: Solve for x
    x = 792,833,529,744/608,632
  6. Step 6: Final answer
    x = 1,302,648.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.