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Finding the Third Proportional to 471,024 and 1,031,622

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Solution

The third proportional to 471,024 and 1,031,622 is: 2,259,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,024 : 1,031,622 = 1,031,622 : x
  2. Step 2: Convert to fraction form
    471,024/1,031,622 = 1,031,622/x
  3. Step 3: Cross multiply
    471,024x = 1,031,622 × 1,031,622
  4. Step 4: Simplify right side
    471,024x = 1,064,243,950,884
  5. Step 5: Solve for x
    x = 1,064,243,950,884/471,024
  6. Step 6: Final answer
    x = 2,259,426.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.