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Finding the Third Proportional to 674,634 and 1,461,369

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Solution

The third proportional to 674,634 and 1,461,369 is: 3,165,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,634 : 1,461,369 = 1,461,369 : x
  2. Step 2: Convert to fraction form
    674,634/1,461,369 = 1,461,369/x
  3. Step 3: Cross multiply
    674,634x = 1,461,369 × 1,461,369
  4. Step 4: Simplify right side
    674,634x = 2,135,599,354,161
  5. Step 5: Solve for x
    x = 2,135,599,354,161/674,634
  6. Step 6: Final answer
    x = 3,165,567.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.