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Finding the Third Proportional to 559,077 and 886,661

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Solution

The third proportional to 559,077 and 886,661 is: 1,406,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,077 : 886,661 = 886,661 : x
  2. Step 2: Convert to fraction form
    559,077/886,661 = 886,661/x
  3. Step 3: Cross multiply
    559,077x = 886,661 × 886,661
  4. Step 4: Simplify right side
    559,077x = 786,167,728,921
  5. Step 5: Solve for x
    x = 786,167,728,921/559,077
  6. Step 6: Final answer
    x = 1,406,188.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.