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Finding the Third Proportional to 678,835.69 and 1,487,296.69

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Solution

The third proportional to 678,835.69 and 1,487,296.69 is: 3,258,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,835.69 : 1,487,296.69 = 1,487,296.69 : x
  2. Step 2: Convert to fraction form
    678,835.69/1,487,296.69 = 1,487,296.69/x
  3. Step 3: Cross multiply
    678,835.69x = 1,487,296.69 × 1,487,296.69
  4. Step 4: Simplify right side
    678,835.69x = 2,212,051,436,648.47
  5. Step 5: Solve for x
    x = 2,212,051,436,648.47/678,835.69
  6. Step 6: Final answer
    x = 3,258,596.27

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