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Finding the Third Proportional to 469,233 and 1,024,508.25

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Solution

The third proportional to 469,233 and 1,024,508.25 is: 2,236,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,233 : 1,024,508.25 = 1,024,508.25 : x
  2. Step 2: Convert to fraction form
    469,233/1,024,508.25 = 1,024,508.25/x
  3. Step 3: Cross multiply
    469,233x = 1,024,508.25 × 1,024,508.25
  4. Step 4: Simplify right side
    469,233x = 1,049,617,154,318.06
  5. Step 5: Solve for x
    x = 1,049,617,154,318.06/469,233
  6. Step 6: Final answer
    x = 2,236,878.38

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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.