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Finding the Third Proportional to 696,972 and 1,511,960

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Solution

The third proportional to 696,972 and 1,511,960 is: 3,279,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,972 : 1,511,960 = 1,511,960 : x
  2. Step 2: Convert to fraction form
    696,972/1,511,960 = 1,511,960/x
  3. Step 3: Cross multiply
    696,972x = 1,511,960 × 1,511,960
  4. Step 4: Simplify right side
    696,972x = 2,286,023,041,600
  5. Step 5: Solve for x
    x = 2,286,023,041,600/696,972
  6. Step 6: Final answer
    x = 3,279,935.27

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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.