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Finding the Third Proportional to 2,036,270.25 and 4,021,146

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Solution

The third proportional to 2,036,270.25 and 4,021,146 is: 7,940,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,270.25 : 4,021,146 = 4,021,146 : x
  2. Step 2: Convert to fraction form
    2,036,270.25/4,021,146 = 4,021,146/x
  3. Step 3: Cross multiply
    2,036,270.25x = 4,021,146 × 4,021,146
  4. Step 4: Simplify right side
    2,036,270.25x = 16,169,615,153,316
  5. Step 5: Solve for x
    x = 16,169,615,153,316/2,036,270.25
  6. Step 6: Final answer
    x = 7,940,800.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.