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Finding the Third Proportional to 696,098 and 1,107,638

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Solution

The third proportional to 696,098 and 1,107,638 is: 1,762,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,098 : 1,107,638 = 1,107,638 : x
  2. Step 2: Convert to fraction form
    696,098/1,107,638 = 1,107,638/x
  3. Step 3: Cross multiply
    696,098x = 1,107,638 × 1,107,638
  4. Step 4: Simplify right side
    696,098x = 1,226,861,939,044
  5. Step 5: Solve for x
    x = 1,226,861,939,044/696,098
  6. Step 6: Final answer
    x = 1,762,484.51

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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.