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Finding the Third Proportional to 566,186 and 868,935

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Solution

The third proportional to 566,186 and 868,935 is: 1,333,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,186 : 868,935 = 868,935 : x
  2. Step 2: Convert to fraction form
    566,186/868,935 = 868,935/x
  3. Step 3: Cross multiply
    566,186x = 868,935 × 868,935
  4. Step 4: Simplify right side
    566,186x = 755,048,034,225
  5. Step 5: Solve for x
    x = 755,048,034,225/566,186
  6. Step 6: Final answer
    x = 1,333,568.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.