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Finding the Third Proportional to 2,127,870 and 4,669,164

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Solution

The third proportional to 2,127,870 and 4,669,164 is: 10,245,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,870 : 4,669,164 = 4,669,164 : x
  2. Step 2: Convert to fraction form
    2,127,870/4,669,164 = 4,669,164/x
  3. Step 3: Cross multiply
    2,127,870x = 4,669,164 × 4,669,164
  4. Step 4: Simplify right side
    2,127,870x = 21,801,092,458,896
  5. Step 5: Solve for x
    x = 21,801,092,458,896/2,127,870
  6. Step 6: Final answer
    x = 10,245,500.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.