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Finding the Third Proportional to 414,024 and 891,470

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Solution

The third proportional to 414,024 and 891,470 is: 1,919,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,024 : 891,470 = 891,470 : x
  2. Step 2: Convert to fraction form
    414,024/891,470 = 891,470/x
  3. Step 3: Cross multiply
    414,024x = 891,470 × 891,470
  4. Step 4: Simplify right side
    414,024x = 794,718,760,900
  5. Step 5: Solve for x
    x = 794,718,760,900/414,024
  6. Step 6: Final answer
    x = 1,919,499.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.