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Finding the Third Proportional to 453,464 and 989,822

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Solution

The third proportional to 453,464 and 989,822 is: 2,160,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,464 : 989,822 = 989,822 : x
  2. Step 2: Convert to fraction form
    453,464/989,822 = 989,822/x
  3. Step 3: Cross multiply
    453,464x = 989,822 × 989,822
  4. Step 4: Simplify right side
    453,464x = 979,747,591,684
  5. Step 5: Solve for x
    x = 979,747,591,684/453,464
  6. Step 6: Final answer
    x = 2,160,585.17

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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.