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Finding the Third Proportional to 1,306,747.69 and 2,802,605.06

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Solution

The third proportional to 1,306,747.69 and 2,802,605.06 is: 6,010,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,747.69 : 2,802,605.06 = 2,802,605.06 : x
  2. Step 2: Convert to fraction form
    1,306,747.69/2,802,605.06 = 2,802,605.06/x
  3. Step 3: Cross multiply
    1,306,747.69x = 2,802,605.06 × 2,802,605.06
  4. Step 4: Simplify right side
    1,306,747.69x = 7,854,595,136,350.63
  5. Step 5: Solve for x
    x = 7,854,595,136,350.63/1,306,747.69
  6. Step 6: Final answer
    x = 6,010,797.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.