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Finding the Third Proportional to 555,824 and 1,172,896

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Solution

The third proportional to 555,824 and 1,172,896 is: 2,475,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,824 : 1,172,896 = 1,172,896 : x
  2. Step 2: Convert to fraction form
    555,824/1,172,896 = 1,172,896/x
  3. Step 3: Cross multiply
    555,824x = 1,172,896 × 1,172,896
  4. Step 4: Simplify right side
    555,824x = 1,375,685,026,816
  5. Step 5: Solve for x
    x = 1,375,685,026,816/555,824
  6. Step 6: Final answer
    x = 2,475,037.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.