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Finding the Third Proportional to 429,693 and 945,186

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Solution

The third proportional to 429,693 and 945,186 is: 2,079,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,693 : 945,186 = 945,186 : x
  2. Step 2: Convert to fraction form
    429,693/945,186 = 945,186/x
  3. Step 3: Cross multiply
    429,693x = 945,186 × 945,186
  4. Step 4: Simplify right side
    429,693x = 893,376,574,596
  5. Step 5: Solve for x
    x = 893,376,574,596/429,693
  6. Step 6: Final answer
    x = 2,079,104.32

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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.