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Finding the Third Proportional to 574,011 and 1,195,229

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Solution

The third proportional to 574,011 and 1,195,229 is: 2,488,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,011 : 1,195,229 = 1,195,229 : x
  2. Step 2: Convert to fraction form
    574,011/1,195,229 = 1,195,229/x
  3. Step 3: Cross multiply
    574,011x = 1,195,229 × 1,195,229
  4. Step 4: Simplify right side
    574,011x = 1,428,572,362,441
  5. Step 5: Solve for x
    x = 1,428,572,362,441/574,011
  6. Step 6: Final answer
    x = 2,488,754.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.