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Finding the Third Proportional to 618,122 and 1,303,771

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Solution

The third proportional to 618,122 and 1,303,771 is: 2,749,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,122 : 1,303,771 = 1,303,771 : x
  2. Step 2: Convert to fraction form
    618,122/1,303,771 = 1,303,771/x
  3. Step 3: Cross multiply
    618,122x = 1,303,771 × 1,303,771
  4. Step 4: Simplify right side
    618,122x = 1,699,818,820,441
  5. Step 5: Solve for x
    x = 1,699,818,820,441/618,122
  6. Step 6: Final answer
    x = 2,749,973.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.