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Finding the Third Proportional to 425,736 and 933,120

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Solution

The third proportional to 425,736 and 933,120 is: 2,045,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,736 : 933,120 = 933,120 : x
  2. Step 2: Convert to fraction form
    425,736/933,120 = 933,120/x
  3. Step 3: Cross multiply
    425,736x = 933,120 × 933,120
  4. Step 4: Simplify right side
    425,736x = 870,712,934,400
  5. Step 5: Solve for x
    x = 870,712,934,400/425,736
  6. Step 6: Final answer
    x = 2,045,194.52

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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.