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Finding the Third Proportional to 460,882 and 958,552

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Solution

The third proportional to 460,882 and 958,552 is: 1,993,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882 : 958,552 = 958,552 : x
  2. Step 2: Convert to fraction form
    460,882/958,552 = 958,552/x
  3. Step 3: Cross multiply
    460,882x = 958,552 × 958,552
  4. Step 4: Simplify right side
    460,882x = 918,821,936,704
  5. Step 5: Solve for x
    x = 918,821,936,704/460,882
  6. Step 6: Final answer
    x = 1,993,616.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.