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Finding the Third Proportional to 683,738 and 1,061,445

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Solution

The third proportional to 683,738 and 1,061,445 is: 1,647,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,738 : 1,061,445 = 1,061,445 : x
  2. Step 2: Convert to fraction form
    683,738/1,061,445 = 1,061,445/x
  3. Step 3: Cross multiply
    683,738x = 1,061,445 × 1,061,445
  4. Step 4: Simplify right side
    683,738x = 1,126,665,488,025
  5. Step 5: Solve for x
    x = 1,126,665,488,025/683,738
  6. Step 6: Final answer
    x = 1,647,802.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.