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Finding the Third Proportional to 469,049 and 1,024,121

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Solution

The third proportional to 469,049 and 1,024,121 is: 2,236,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,049 : 1,024,121 = 1,024,121 : x
  2. Step 2: Convert to fraction form
    469,049/1,024,121 = 1,024,121/x
  3. Step 3: Cross multiply
    469,049x = 1,024,121 × 1,024,121
  4. Step 4: Simplify right side
    469,049x = 1,048,823,822,641
  5. Step 5: Solve for x
    x = 1,048,823,822,641/469,049
  6. Step 6: Final answer
    x = 2,236,064.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.