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Finding the Third Proportional to 388,908 and 840,024

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Solution

The third proportional to 388,908 and 840,024 is: 1,814,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,908 : 840,024 = 840,024 : x
  2. Step 2: Convert to fraction form
    388,908/840,024 = 840,024/x
  3. Step 3: Cross multiply
    388,908x = 840,024 × 840,024
  4. Step 4: Simplify right side
    388,908x = 705,640,320,576
  5. Step 5: Solve for x
    x = 705,640,320,576/388,908
  6. Step 6: Final answer
    x = 1,814,414.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.