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Finding the Third Proportional to 394,547 and 862,923

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Solution

The third proportional to 394,547 and 862,923 is: 1,887,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,547 : 862,923 = 862,923 : x
  2. Step 2: Convert to fraction form
    394,547/862,923 = 862,923/x
  3. Step 3: Cross multiply
    394,547x = 862,923 × 862,923
  4. Step 4: Simplify right side
    394,547x = 744,636,103,929
  5. Step 5: Solve for x
    x = 744,636,103,929/394,547
  6. Step 6: Final answer
    x = 1,887,319.14

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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.