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Finding the Third Proportional to 734,301.70 and 1,122,562.97

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Solution

The third proportional to 734,301.70 and 1,122,562.97 is: 1,716,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,301.70 : 1,122,562.97 = 1,122,562.97 : x
  2. Step 2: Convert to fraction form
    734,301.70/1,122,562.97 = 1,122,562.97/x
  3. Step 3: Cross multiply
    734,301.70x = 1,122,562.97 × 1,122,562.97
  4. Step 4: Simplify right side
    734,301.70x = 1,260,147,618,808.81
  5. Step 5: Solve for x
    x = 1,260,147,618,808.81/734,301.70
  6. Step 6: Final answer
    x = 1,716,116.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.