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Finding the Third Proportional to 585,300 and 1,276,962

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Solution

The third proportional to 585,300 and 1,276,962 is: 2,785,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,300 : 1,276,962 = 1,276,962 : x
  2. Step 2: Convert to fraction form
    585,300/1,276,962 = 1,276,962/x
  3. Step 3: Cross multiply
    585,300x = 1,276,962 × 1,276,962
  4. Step 4: Simplify right side
    585,300x = 1,630,631,949,444
  5. Step 5: Solve for x
    x = 1,630,631,949,444/585,300
  6. Step 6: Final answer
    x = 2,785,976.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.