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Finding the Third Proportional to 1,922,302.13 and 4,093,071.75

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Solution

The third proportional to 1,922,302.13 and 4,093,071.75 is: 8,715,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,302.13 : 4,093,071.75 = 4,093,071.75 : x
  2. Step 2: Convert to fraction form
    1,922,302.13/4,093,071.75 = 4,093,071.75/x
  3. Step 3: Cross multiply
    1,922,302.13x = 4,093,071.75 × 4,093,071.75
  4. Step 4: Simplify right side
    1,922,302.13x = 16,753,236,350,648.06
  5. Step 5: Solve for x
    x = 16,753,236,350,648.06/1,922,302.13
  6. Step 6: Final answer
    x = 8,715,194.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.