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Finding the Third Proportional to 569,940 and 886,022

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Solution

The third proportional to 569,940 and 886,022 is: 1,377,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,940 : 886,022 = 886,022 : x
  2. Step 2: Convert to fraction form
    569,940/886,022 = 886,022/x
  3. Step 3: Cross multiply
    569,940x = 886,022 × 886,022
  4. Step 4: Simplify right side
    569,940x = 785,034,984,484
  5. Step 5: Solve for x
    x = 785,034,984,484/569,940
  6. Step 6: Final answer
    x = 1,377,399.35

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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.