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Finding the Third Proportional to 423,638 and 933,212

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Solution

The third proportional to 423,638 and 933,212 is: 2,055,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,638 : 933,212 = 933,212 : x
  2. Step 2: Convert to fraction form
    423,638/933,212 = 933,212/x
  3. Step 3: Cross multiply
    423,638x = 933,212 × 933,212
  4. Step 4: Simplify right side
    423,638x = 870,884,636,944
  5. Step 5: Solve for x
    x = 870,884,636,944/423,638
  6. Step 6: Final answer
    x = 2,055,728.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.