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Finding the Third Proportional to 791,406.50 and 1,226,205

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Solution

The third proportional to 791,406.50 and 1,226,205 is: 1,899,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,406.50 : 1,226,205 = 1,226,205 : x
  2. Step 2: Convert to fraction form
    791,406.50/1,226,205 = 1,226,205/x
  3. Step 3: Cross multiply
    791,406.50x = 1,226,205 × 1,226,205
  4. Step 4: Simplify right side
    791,406.50x = 1,503,578,702,025
  5. Step 5: Solve for x
    x = 1,503,578,702,025/791,406.50
  6. Step 6: Final answer
    x = 1,899,881.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.