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Finding the Third Proportional to 618,462 and 882,045

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Solution

The third proportional to 618,462 and 882,045 is: 1,257,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,462 : 882,045 = 882,045 : x
  2. Step 2: Convert to fraction form
    618,462/882,045 = 882,045/x
  3. Step 3: Cross multiply
    618,462x = 882,045 × 882,045
  4. Step 4: Simplify right side
    618,462x = 778,003,382,025
  5. Step 5: Solve for x
    x = 778,003,382,025/618,462
  6. Step 6: Final answer
    x = 1,257,964.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.