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Finding the Third Proportional to 434,220 and 942,704

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Solution

The third proportional to 434,220 and 942,704 is: 2,046,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,220 : 942,704 = 942,704 : x
  2. Step 2: Convert to fraction form
    434,220/942,704 = 942,704/x
  3. Step 3: Cross multiply
    434,220x = 942,704 × 942,704
  4. Step 4: Simplify right side
    434,220x = 888,690,831,616
  5. Step 5: Solve for x
    x = 888,690,831,616/434,220
  6. Step 6: Final answer
    x = 2,046,637.26

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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.