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Finding the Third Proportional to 434,128 and 942,612

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Solution

The third proportional to 434,128 and 942,612 is: 2,046,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,128 : 942,612 = 942,612 : x
  2. Step 2: Convert to fraction form
    434,128/942,612 = 942,612/x
  3. Step 3: Cross multiply
    434,128x = 942,612 × 942,612
  4. Step 4: Simplify right side
    434,128x = 888,517,382,544
  5. Step 5: Solve for x
    x = 888,517,382,544/434,128
  6. Step 6: Final answer
    x = 2,046,671.45

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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.