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Finding the Third Proportional to 388,638 and 843,658.13

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Solution

The third proportional to 388,638 and 843,658.13 is: 1,831,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,638 : 843,658.13 = 843,658.13 : x
  2. Step 2: Convert to fraction form
    388,638/843,658.13 = 843,658.13/x
  3. Step 3: Cross multiply
    388,638x = 843,658.13 × 843,658.13
  4. Step 4: Simplify right side
    388,638x = 711,759,031,878.52
  5. Step 5: Solve for x
    x = 711,759,031,878.52/388,638
  6. Step 6: Final answer
    x = 1,831,419.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.