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Finding the Third Proportional to 723,396 and 1,624,704

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Solution

The third proportional to 723,396 and 1,624,704 is: 3,648,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,396 : 1,624,704 = 1,624,704 : x
  2. Step 2: Convert to fraction form
    723,396/1,624,704 = 1,624,704/x
  3. Step 3: Cross multiply
    723,396x = 1,624,704 × 1,624,704
  4. Step 4: Simplify right side
    723,396x = 2,639,663,087,616
  5. Step 5: Solve for x
    x = 2,639,663,087,616/723,396
  6. Step 6: Final answer
    x = 3,648,987.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.