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Finding the Third Proportional to 1,902,121.95 and 3,870,673.80

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Solution

The third proportional to 1,902,121.95 and 3,870,673.80 is: 7,876,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,121.95 : 3,870,673.80 = 3,870,673.80 : x
  2. Step 2: Convert to fraction form
    1,902,121.95/3,870,673.80 = 3,870,673.80/x
  3. Step 3: Cross multiply
    1,902,121.95x = 3,870,673.80 × 3,870,673.80
  4. Step 4: Simplify right side
    1,902,121.95x = 14,982,115,702,294.01
  5. Step 5: Solve for x
    x = 14,982,115,702,294.01/1,902,121.95
  6. Step 6: Final answer
    x = 7,876,527.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.