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Finding the Third Proportional to 696,069 and 1,474,501.50

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Solution

The third proportional to 696,069 and 1,474,501.50 is: 3,123,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,069 : 1,474,501.50 = 1,474,501.50 : x
  2. Step 2: Convert to fraction form
    696,069/1,474,501.50 = 1,474,501.50/x
  3. Step 3: Cross multiply
    696,069x = 1,474,501.50 × 1,474,501.50
  4. Step 4: Simplify right side
    696,069x = 2,174,154,673,502.25
  5. Step 5: Solve for x
    x = 2,174,154,673,502.25/696,069
  6. Step 6: Final answer
    x = 3,123,475.80

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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.