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Finding the Third Proportional to 623,378 and 1,363,396

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Solution

The third proportional to 623,378 and 1,363,396 is: 2,981,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,378 : 1,363,396 = 1,363,396 : x
  2. Step 2: Convert to fraction form
    623,378/1,363,396 = 1,363,396/x
  3. Step 3: Cross multiply
    623,378x = 1,363,396 × 1,363,396
  4. Step 4: Simplify right side
    623,378x = 1,858,848,652,816
  5. Step 5: Solve for x
    x = 1,858,848,652,816/623,378
  6. Step 6: Final answer
    x = 2,981,896.46

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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.