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Finding the Third Proportional to 700,965 and 1,520,028

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Solution

The third proportional to 700,965 and 1,520,028 is: 3,296,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,965 : 1,520,028 = 1,520,028 : x
  2. Step 2: Convert to fraction form
    700,965/1,520,028 = 1,520,028/x
  3. Step 3: Cross multiply
    700,965x = 1,520,028 × 1,520,028
  4. Step 4: Simplify right side
    700,965x = 2,310,485,120,784
  5. Step 5: Solve for x
    x = 2,310,485,120,784/700,965
  6. Step 6: Final answer
    x = 3,296,149.05

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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.