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Finding the Third Proportional to 679,055.91 and 1,413,895.50

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Solution

The third proportional to 679,055.91 and 1,413,895.50 is: 2,943,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,055.91 : 1,413,895.50 = 1,413,895.50 : x
  2. Step 2: Convert to fraction form
    679,055.91/1,413,895.50 = 1,413,895.50/x
  3. Step 3: Cross multiply
    679,055.91x = 1,413,895.50 × 1,413,895.50
  4. Step 4: Simplify right side
    679,055.91x = 1,999,100,484,920.25
  5. Step 5: Solve for x
    x = 1,999,100,484,920.25/679,055.91
  6. Step 6: Final answer
    x = 2,943,940.94

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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.