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Finding the Third Proportional to 429,611 and 941,850

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Solution

The third proportional to 429,611 and 941,850 is: 2,064,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,611 : 941,850 = 941,850 : x
  2. Step 2: Convert to fraction form
    429,611/941,850 = 941,850/x
  3. Step 3: Cross multiply
    429,611x = 941,850 × 941,850
  4. Step 4: Simplify right side
    429,611x = 887,081,422,500
  5. Step 5: Solve for x
    x = 887,081,422,500/429,611
  6. Step 6: Final answer
    x = 2,064,848.02

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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.