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Finding the Third Proportional to 1,212,571.69 and 2,648,305.13

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Solution

The third proportional to 1,212,571.69 and 2,648,305.13 is: 5,784,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,571.69 : 2,648,305.13 = 2,648,305.13 : x
  2. Step 2: Convert to fraction form
    1,212,571.69/2,648,305.13 = 2,648,305.13/x
  3. Step 3: Cross multiply
    1,212,571.69x = 2,648,305.13 × 2,648,305.13
  4. Step 4: Simplify right side
    1,212,571.69x = 7,013,520,035,101.27
  5. Step 5: Solve for x
    x = 7,013,520,035,101.27/1,212,571.69
  6. Step 6: Final answer
    x = 5,784,004.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.