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Finding the Third Proportional to 1,853,211 and 4,060,716

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Solution

The third proportional to 1,853,211 and 4,060,716 is: 8,897,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853,211 : 4,060,716 = 4,060,716 : x
  2. Step 2: Convert to fraction form
    1,853,211/4,060,716 = 4,060,716/x
  3. Step 3: Cross multiply
    1,853,211x = 4,060,716 × 4,060,716
  4. Step 4: Simplify right side
    1,853,211x = 16,489,414,432,656
  5. Step 5: Solve for x
    x = 16,489,414,432,656/1,853,211
  6. Step 6: Final answer
    x = 8,897,753.38

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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.