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Finding the Third Proportional to 434,064 and 952,168

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Solution

The third proportional to 434,064 and 952,168 is: 2,088,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,064 : 952,168 = 952,168 : x
  2. Step 2: Convert to fraction form
    434,064/952,168 = 952,168/x
  3. Step 3: Cross multiply
    434,064x = 952,168 × 952,168
  4. Step 4: Simplify right side
    434,064x = 906,623,900,224
  5. Step 5: Solve for x
    x = 906,623,900,224/434,064
  6. Step 6: Final answer
    x = 2,088,687.15

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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.