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Finding the Third Proportional to 388,944 and 849,872

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Solution

The third proportional to 388,944 and 849,872 is: 1,857,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,944 : 849,872 = 849,872 : x
  2. Step 2: Convert to fraction form
    388,944/849,872 = 849,872/x
  3. Step 3: Cross multiply
    388,944x = 849,872 × 849,872
  4. Step 4: Simplify right side
    388,944x = 722,282,416,384
  5. Step 5: Solve for x
    x = 722,282,416,384/388,944
  6. Step 6: Final answer
    x = 1,857,034.47

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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.