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Finding the Third Proportional to 723,843 and 1,566,832

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Solution

The third proportional to 723,843 and 1,566,832 is: 3,391,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,843 : 1,566,832 = 1,566,832 : x
  2. Step 2: Convert to fraction form
    723,843/1,566,832 = 1,566,832/x
  3. Step 3: Cross multiply
    723,843x = 1,566,832 × 1,566,832
  4. Step 4: Simplify right side
    723,843x = 2,454,962,516,224
  5. Step 5: Solve for x
    x = 2,454,962,516,224/723,843
  6. Step 6: Final answer
    x = 3,391,567.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.