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Finding the Third Proportional to 696,156 and 1,520,136

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Solution

The third proportional to 696,156 and 1,520,136 is: 3,319,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,156 : 1,520,136 = 1,520,136 : x
  2. Step 2: Convert to fraction form
    696,156/1,520,136 = 1,520,136/x
  3. Step 3: Cross multiply
    696,156x = 1,520,136 × 1,520,136
  4. Step 4: Simplify right side
    696,156x = 2,310,813,458,496
  5. Step 5: Solve for x
    x = 2,310,813,458,496/696,156
  6. Step 6: Final answer
    x = 3,319,390.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.