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Finding the Third Proportional to 696,520 and 1,508,969

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Solution

The third proportional to 696,520 and 1,508,969 is: 3,269,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,520 : 1,508,969 = 1,508,969 : x
  2. Step 2: Convert to fraction form
    696,520/1,508,969 = 1,508,969/x
  3. Step 3: Cross multiply
    696,520x = 1,508,969 × 1,508,969
  4. Step 4: Simplify right side
    696,520x = 2,276,987,442,961
  5. Step 5: Solve for x
    x = 2,276,987,442,961/696,520
  6. Step 6: Final answer
    x = 3,269,091.26

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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.