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Finding the Third Proportional to 614,630 and 923,727

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Solution

The third proportional to 614,630 and 923,727 is: 1,388,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,630 : 923,727 = 923,727 : x
  2. Step 2: Convert to fraction form
    614,630/923,727 = 923,727/x
  3. Step 3: Cross multiply
    614,630x = 923,727 × 923,727
  4. Step 4: Simplify right side
    614,630x = 853,271,570,529
  5. Step 5: Solve for x
    x = 853,271,570,529/614,630
  6. Step 6: Final answer
    x = 1,388,268.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.