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Finding the Third Proportional to 547,866 and 1,110,798

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Solution

The third proportional to 547,866 and 1,110,798 is: 2,252,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,866 : 1,110,798 = 1,110,798 : x
  2. Step 2: Convert to fraction form
    547,866/1,110,798 = 1,110,798/x
  3. Step 3: Cross multiply
    547,866x = 1,110,798 × 1,110,798
  4. Step 4: Simplify right side
    547,866x = 1,233,872,196,804
  5. Step 5: Solve for x
    x = 1,233,872,196,804/547,866
  6. Step 6: Final answer
    x = 2,252,142.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.