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Finding the Third Proportional to 460,855 and 958,497

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Solution

The third proportional to 460,855 and 958,497 is: 1,993,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,855 : 958,497 = 958,497 : x
  2. Step 2: Convert to fraction form
    460,855/958,497 = 958,497/x
  3. Step 3: Cross multiply
    460,855x = 958,497 × 958,497
  4. Step 4: Simplify right side
    460,855x = 918,716,499,009
  5. Step 5: Solve for x
    x = 918,716,499,009/460,855
  6. Step 6: Final answer
    x = 1,993,504.46

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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.