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Finding the Third Proportional to 460,851 and 958,491

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Solution

The third proportional to 460,851 and 958,491 is: 1,993,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,851 : 958,491 = 958,491 : x
  2. Step 2: Convert to fraction form
    460,851/958,491 = 958,491/x
  3. Step 3: Cross multiply
    460,851x = 958,491 × 958,491
  4. Step 4: Simplify right side
    460,851x = 918,704,997,081
  5. Step 5: Solve for x
    x = 918,704,997,081/460,851
  6. Step 6: Final answer
    x = 1,993,496.81

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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.