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Finding the Third Proportional to 678,815.44 and 1,413,946.13

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Solution

The third proportional to 678,815.44 and 1,413,946.13 is: 2,945,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,815.44 : 1,413,946.13 = 1,413,946.13 : x
  2. Step 2: Convert to fraction form
    678,815.44/1,413,946.13 = 1,413,946.13/x
  3. Step 3: Cross multiply
    678,815.44x = 1,413,946.13 × 1,413,946.13
  4. Step 4: Simplify right side
    678,815.44x = 1,999,243,644,402.52
  5. Step 5: Solve for x
    x = 1,999,243,644,402.52/678,815.44
  6. Step 6: Final answer
    x = 2,945,194.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.