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Finding the Third Proportional to 696,109.50 and 1,107,657

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Solution

The third proportional to 696,109.50 and 1,107,657 is: 1,762,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,109.50 : 1,107,657 = 1,107,657 : x
  2. Step 2: Convert to fraction form
    696,109.50/1,107,657 = 1,107,657/x
  3. Step 3: Cross multiply
    696,109.50x = 1,107,657 × 1,107,657
  4. Step 4: Simplify right side
    696,109.50x = 1,226,904,029,649
  5. Step 5: Solve for x
    x = 1,226,904,029,649/696,109.50
  6. Step 6: Final answer
    x = 1,762,515.85

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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.