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Finding the Third Proportional to 674,654 and 1,449,361

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Solution

The third proportional to 674,654 and 1,449,361 is: 3,113,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,654 : 1,449,361 = 1,449,361 : x
  2. Step 2: Convert to fraction form
    674,654/1,449,361 = 1,449,361/x
  3. Step 3: Cross multiply
    674,654x = 1,449,361 × 1,449,361
  4. Step 4: Simplify right side
    674,654x = 2,100,647,308,321
  5. Step 5: Solve for x
    x = 2,100,647,308,321/674,654
  6. Step 6: Final answer
    x = 3,113,666.13

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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.