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Finding the Third Proportional to 469,608 and 1,005,624

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Solution

The third proportional to 469,608 and 1,005,624 is: 2,153,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,608 : 1,005,624 = 1,005,624 : x
  2. Step 2: Convert to fraction form
    469,608/1,005,624 = 1,005,624/x
  3. Step 3: Cross multiply
    469,608x = 1,005,624 × 1,005,624
  4. Step 4: Simplify right side
    469,608x = 1,011,279,629,376
  5. Step 5: Solve for x
    x = 1,011,279,629,376/469,608
  6. Step 6: Final answer
    x = 2,153,454.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.