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Finding the Third Proportional to 954,909 and 1,297,647

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Solution

The third proportional to 954,909 and 1,297,647 is: 1,763,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,909 : 1,297,647 = 1,297,647 : x
  2. Step 2: Convert to fraction form
    954,909/1,297,647 = 1,297,647/x
  3. Step 3: Cross multiply
    954,909x = 1,297,647 × 1,297,647
  4. Step 4: Simplify right side
    954,909x = 1,683,887,736,609
  5. Step 5: Solve for x
    x = 1,683,887,736,609/954,909
  6. Step 6: Final answer
    x = 1,763,401.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.