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Finding the Third Proportional to 463,873 and 1,006,464

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Solution

The third proportional to 463,873 and 1,006,464 is: 2,183,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,873 : 1,006,464 = 1,006,464 : x
  2. Step 2: Convert to fraction form
    463,873/1,006,464 = 1,006,464/x
  3. Step 3: Cross multiply
    463,873x = 1,006,464 × 1,006,464
  4. Step 4: Simplify right side
    463,873x = 1,012,969,783,296
  5. Step 5: Solve for x
    x = 1,012,969,783,296/463,873
  6. Step 6: Final answer
    x = 2,183,722.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.