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Finding the Third Proportional to 674,201 and 1,448,454

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Solution

The third proportional to 674,201 and 1,448,454 is: 3,111,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,201 : 1,448,454 = 1,448,454 : x
  2. Step 2: Convert to fraction form
    674,201/1,448,454 = 1,448,454/x
  3. Step 3: Cross multiply
    674,201x = 1,448,454 × 1,448,454
  4. Step 4: Simplify right side
    674,201x = 2,098,018,990,116
  5. Step 5: Solve for x
    x = 2,098,018,990,116/674,201
  6. Step 6: Final answer
    x = 3,111,859.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.