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Finding the Third Proportional to 388,326 and 846,924

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Solution

The third proportional to 388,326 and 846,924 is: 1,847,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,326 : 846,924 = 846,924 : x
  2. Step 2: Convert to fraction form
    388,326/846,924 = 846,924/x
  3. Step 3: Cross multiply
    388,326x = 846,924 × 846,924
  4. Step 4: Simplify right side
    388,326x = 717,280,261,776
  5. Step 5: Solve for x
    x = 717,280,261,776/388,326
  6. Step 6: Final answer
    x = 1,847,108.52

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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.