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Finding the Third Proportional to 453,846 and 990,786

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Solution

The third proportional to 453,846 and 990,786 is: 2,162,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,846 : 990,786 = 990,786 : x
  2. Step 2: Convert to fraction form
    453,846/990,786 = 990,786/x
  3. Step 3: Cross multiply
    453,846x = 990,786 × 990,786
  4. Step 4: Simplify right side
    453,846x = 981,656,897,796
  5. Step 5: Solve for x
    x = 981,656,897,796/453,846
  6. Step 6: Final answer
    x = 2,162,973.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.