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Finding the Third Proportional to 2,001,494 and 2,949,303

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Solution

The third proportional to 2,001,494 and 2,949,303 is: 4,345,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,494 : 2,949,303 = 2,949,303 : x
  2. Step 2: Convert to fraction form
    2,001,494/2,949,303 = 2,949,303/x
  3. Step 3: Cross multiply
    2,001,494x = 2,949,303 × 2,949,303
  4. Step 4: Simplify right side
    2,001,494x = 8,698,388,185,809
  5. Step 5: Solve for x
    x = 8,698,388,185,809/2,001,494
  6. Step 6: Final answer
    x = 4,345,947.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.