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Finding the Third Proportional to 948,084 and 2,073,533

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Solution

The third proportional to 948,084 and 2,073,533 is: 4,534,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,084 : 2,073,533 = 2,073,533 : x
  2. Step 2: Convert to fraction form
    948,084/2,073,533 = 2,073,533/x
  3. Step 3: Cross multiply
    948,084x = 2,073,533 × 2,073,533
  4. Step 4: Simplify right side
    948,084x = 4,299,539,102,089
  5. Step 5: Solve for x
    x = 4,299,539,102,089/948,084
  6. Step 6: Final answer
    x = 4,534,976.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.