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Finding the Third Proportional to 696,102 and 1,107,644

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Solution

The third proportional to 696,102 and 1,107,644 is: 1,762,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,102 : 1,107,644 = 1,107,644 : x
  2. Step 2: Convert to fraction form
    696,102/1,107,644 = 1,107,644/x
  3. Step 3: Cross multiply
    696,102x = 1,107,644 × 1,107,644
  4. Step 4: Simplify right side
    696,102x = 1,226,875,230,736
  5. Step 5: Solve for x
    x = 1,226,875,230,736/696,102
  6. Step 6: Final answer
    x = 1,762,493.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.