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Finding the Third Proportional to 1,069,013 and 2,305,120

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Solution

The third proportional to 1,069,013 and 2,305,120 is: 4,970,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,013 : 2,305,120 = 2,305,120 : x
  2. Step 2: Convert to fraction form
    1,069,013/2,305,120 = 2,305,120/x
  3. Step 3: Cross multiply
    1,069,013x = 2,305,120 × 2,305,120
  4. Step 4: Simplify right side
    1,069,013x = 5,313,578,214,400
  5. Step 5: Solve for x
    x = 5,313,578,214,400/1,069,013
  6. Step 6: Final answer
    x = 4,970,545.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.