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Finding the Third Proportional to 486,014 and 1,060,463

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Solution

The third proportional to 486,014 and 1,060,463 is: 2,313,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,014 : 1,060,463 = 1,060,463 : x
  2. Step 2: Convert to fraction form
    486,014/1,060,463 = 1,060,463/x
  3. Step 3: Cross multiply
    486,014x = 1,060,463 × 1,060,463
  4. Step 4: Simplify right side
    486,014x = 1,124,581,774,369
  5. Step 5: Solve for x
    x = 1,124,581,774,369/486,014
  6. Step 6: Final answer
    x = 2,313,887.61

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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.