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Finding the Third Proportional to 696,066 and 1,474,495.50

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Solution

The third proportional to 696,066 and 1,474,495.50 is: 3,123,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,066 : 1,474,495.50 = 1,474,495.50 : x
  2. Step 2: Convert to fraction form
    696,066/1,474,495.50 = 1,474,495.50/x
  3. Step 3: Cross multiply
    696,066x = 1,474,495.50 × 1,474,495.50
  4. Step 4: Simplify right side
    696,066x = 2,174,136,979,520.25
  5. Step 5: Solve for x
    x = 2,174,136,979,520.25/696,066
  6. Step 6: Final answer
    x = 3,123,463.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.