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Finding the Third Proportional to 700,963.88 and 1,520,025.75

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Solution

The third proportional to 700,963.88 and 1,520,025.75 is: 3,296,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,963.88 : 1,520,025.75 = 1,520,025.75 : x
  2. Step 2: Convert to fraction form
    700,963.88/1,520,025.75 = 1,520,025.75/x
  3. Step 3: Cross multiply
    700,963.88x = 1,520,025.75 × 1,520,025.75
  4. Step 4: Simplify right side
    700,963.88x = 2,310,478,280,663.06
  5. Step 5: Solve for x
    x = 2,310,478,280,663.06/700,963.88
  6. Step 6: Final answer
    x = 3,296,144.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.