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Finding the Third Proportional to 429,698 and 933,220

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Solution

The third proportional to 429,698 and 933,220 is: 2,026,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,698 : 933,220 = 933,220 : x
  2. Step 2: Convert to fraction form
    429,698/933,220 = 933,220/x
  3. Step 3: Cross multiply
    429,698x = 933,220 × 933,220
  4. Step 4: Simplify right side
    429,698x = 870,899,568,400
  5. Step 5: Solve for x
    x = 870,899,568,400/429,698
  6. Step 6: Final answer
    x = 2,026,771.29

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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.