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Finding the Third Proportional to 585,126 and 873,861

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Solution

The third proportional to 585,126 and 873,861 is: 1,305,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,126 : 873,861 = 873,861 : x
  2. Step 2: Convert to fraction form
    585,126/873,861 = 873,861/x
  3. Step 3: Cross multiply
    585,126x = 873,861 × 873,861
  4. Step 4: Simplify right side
    585,126x = 763,633,047,321
  5. Step 5: Solve for x
    x = 763,633,047,321/585,126
  6. Step 6: Final answer
    x = 1,305,074.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.