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Finding the Third Proportional to 543,866 and 1,174,211

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Solution

The third proportional to 543,866 and 1,174,211 is: 2,535,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,866 : 1,174,211 = 1,174,211 : x
  2. Step 2: Convert to fraction form
    543,866/1,174,211 = 1,174,211/x
  3. Step 3: Cross multiply
    543,866x = 1,174,211 × 1,174,211
  4. Step 4: Simplify right side
    543,866x = 1,378,771,472,521
  5. Step 5: Solve for x
    x = 1,378,771,472,521/543,866
  6. Step 6: Final answer
    x = 2,535,130.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.