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Finding the Third Proportional to 985,711 and 2,138,728

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Solution

The third proportional to 985,711 and 2,138,728 is: 4,640,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,711 : 2,138,728 = 2,138,728 : x
  2. Step 2: Convert to fraction form
    985,711/2,138,728 = 2,138,728/x
  3. Step 3: Cross multiply
    985,711x = 2,138,728 × 2,138,728
  4. Step 4: Simplify right side
    985,711x = 4,574,157,457,984
  5. Step 5: Solve for x
    x = 4,574,157,457,984/985,711
  6. Step 6: Final answer
    x = 4,640,465.06

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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.