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Finding the Third Proportional to 1,154,902 and 2,383,032

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Solution

The third proportional to 1,154,902 and 2,383,032 is: 4,917,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,902 : 2,383,032 = 2,383,032 : x
  2. Step 2: Convert to fraction form
    1,154,902/2,383,032 = 2,383,032/x
  3. Step 3: Cross multiply
    1,154,902x = 2,383,032 × 2,383,032
  4. Step 4: Simplify right side
    1,154,902x = 5,678,841,513,024
  5. Step 5: Solve for x
    x = 5,678,841,513,024/1,154,902
  6. Step 6: Final answer
    x = 4,917,163.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.