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Finding the Third Proportional to 569,950 and 886,037

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Solution

The third proportional to 569,950 and 886,037 is: 1,377,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,950 : 886,037 = 886,037 : x
  2. Step 2: Convert to fraction form
    569,950/886,037 = 886,037/x
  3. Step 3: Cross multiply
    569,950x = 886,037 × 886,037
  4. Step 4: Simplify right side
    569,950x = 785,061,565,369
  5. Step 5: Solve for x
    x = 785,061,565,369/569,950
  6. Step 6: Final answer
    x = 1,377,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.