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Finding the Third Proportional to 412,929 and 875,431.13

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Solution

The third proportional to 412,929 and 875,431.13 is: 1,855,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,929 : 875,431.13 = 875,431.13 : x
  2. Step 2: Convert to fraction form
    412,929/875,431.13 = 875,431.13/x
  3. Step 3: Cross multiply
    412,929x = 875,431.13 × 875,431.13
  4. Step 4: Simplify right side
    412,929x = 766,379,654,618.77
  5. Step 5: Solve for x
    x = 766,379,654,618.77/412,929
  6. Step 6: Final answer
    x = 1,855,959.87

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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.