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Finding the Third Proportional to 487,923 and 1,057,296

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Solution

The third proportional to 487,923 and 1,057,296 is: 2,291,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,923 : 1,057,296 = 1,057,296 : x
  2. Step 2: Convert to fraction form
    487,923/1,057,296 = 1,057,296/x
  3. Step 3: Cross multiply
    487,923x = 1,057,296 × 1,057,296
  4. Step 4: Simplify right side
    487,923x = 1,117,874,831,616
  5. Step 5: Solve for x
    x = 1,117,874,831,616/487,923
  6. Step 6: Final answer
    x = 2,291,088.62

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Why These Related Problems?

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