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Finding the Third Proportional to 679,798.69 and 919,981.69

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Solution

The third proportional to 679,798.69 and 919,981.69 is: 1,245,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,798.69 : 919,981.69 = 919,981.69 : x
  2. Step 2: Convert to fraction form
    679,798.69/919,981.69 = 919,981.69/x
  3. Step 3: Cross multiply
    679,798.69x = 919,981.69 × 919,981.69
  4. Step 4: Simplify right side
    679,798.69x = 846,366,305,335.35
  5. Step 5: Solve for x
    x = 846,366,305,335.35/679,798.69
  6. Step 6: Final answer
    x = 1,245,024.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.