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Finding the Third Proportional to 595,410.75 and 886,965.19

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Solution

The third proportional to 595,410.75 and 886,965.19 is: 1,321,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,410.75 : 886,965.19 = 886,965.19 : x
  2. Step 2: Convert to fraction form
    595,410.75/886,965.19 = 886,965.19/x
  3. Step 3: Cross multiply
    595,410.75x = 886,965.19 × 886,965.19
  4. Step 4: Simplify right side
    595,410.75x = 786,707,243,836.91
  5. Step 5: Solve for x
    x = 786,707,243,836.91/595,410.75
  6. Step 6: Final answer
    x = 1,321,284.92

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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.