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Finding the Third Proportional to 414,730 and 909,812

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Solution

The third proportional to 414,730 and 909,812 is: 1,995,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,730 : 909,812 = 909,812 : x
  2. Step 2: Convert to fraction form
    414,730/909,812 = 909,812/x
  3. Step 3: Cross multiply
    414,730x = 909,812 × 909,812
  4. Step 4: Simplify right side
    414,730x = 827,757,875,344
  5. Step 5: Solve for x
    x = 827,757,875,344/414,730
  6. Step 6: Final answer
    x = 1,995,895.82

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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.