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Finding the Third Proportional to 418,146 and 916,359

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Solution

The third proportional to 418,146 and 916,359 is: 2,008,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,146 : 916,359 = 916,359 : x
  2. Step 2: Convert to fraction form
    418,146/916,359 = 916,359/x
  3. Step 3: Cross multiply
    418,146x = 916,359 × 916,359
  4. Step 4: Simplify right side
    418,146x = 839,713,816,881
  5. Step 5: Solve for x
    x = 839,713,816,881/418,146
  6. Step 6: Final answer
    x = 2,008,183.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.