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Finding the Third Proportional to 665,526 and 1,086,624

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Solution

The third proportional to 665,526 and 1,086,624 is: 1,774,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,526 : 1,086,624 = 1,086,624 : x
  2. Step 2: Convert to fraction form
    665,526/1,086,624 = 1,086,624/x
  3. Step 3: Cross multiply
    665,526x = 1,086,624 × 1,086,624
  4. Step 4: Simplify right side
    665,526x = 1,180,751,717,376
  5. Step 5: Solve for x
    x = 1,180,751,717,376/665,526
  6. Step 6: Final answer
    x = 1,774,163.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.