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Finding the Third Proportional to 2,804,830 and 6,143,561

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Solution

The third proportional to 2,804,830 and 6,143,561 is: 13,456,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804,830 : 6,143,561 = 6,143,561 : x
  2. Step 2: Convert to fraction form
    2,804,830/6,143,561 = 6,143,561/x
  3. Step 3: Cross multiply
    2,804,830x = 6,143,561 × 6,143,561
  4. Step 4: Simplify right side
    2,804,830x = 37,743,341,760,721
  5. Step 5: Solve for x
    x = 37,743,341,760,721/2,804,830
  6. Step 6: Final answer
    x = 13,456,552.36

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Why These Related Problems?

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