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Finding the Third Proportional to 388,174 and 844,693

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Solution

The third proportional to 388,174 and 844,693 is: 1,838,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,174 : 844,693 = 844,693 : x
  2. Step 2: Convert to fraction form
    388,174/844,693 = 844,693/x
  3. Step 3: Cross multiply
    388,174x = 844,693 × 844,693
  4. Step 4: Simplify right side
    388,174x = 713,506,264,249
  5. Step 5: Solve for x
    x = 713,506,264,249/388,174
  6. Step 6: Final answer
    x = 1,838,109.36

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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.