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Finding the Third Proportional to 413,169 and 875,949

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Solution

The third proportional to 413,169 and 875,949 is: 1,857,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,169 : 875,949 = 875,949 : x
  2. Step 2: Convert to fraction form
    413,169/875,949 = 875,949/x
  3. Step 3: Cross multiply
    413,169x = 875,949 × 875,949
  4. Step 4: Simplify right side
    413,169x = 767,286,650,601
  5. Step 5: Solve for x
    x = 767,286,650,601/413,169
  6. Step 6: Final answer
    x = 1,857,077.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.