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Finding the Third Proportional to 964,457 and 2,061,781

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Solution

The third proportional to 964,457 and 2,061,781 is: 4,407,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,457 : 2,061,781 = 2,061,781 : x
  2. Step 2: Convert to fraction form
    964,457/2,061,781 = 2,061,781/x
  3. Step 3: Cross multiply
    964,457x = 2,061,781 × 2,061,781
  4. Step 4: Simplify right side
    964,457x = 4,250,940,891,961
  5. Step 5: Solve for x
    x = 4,250,940,891,961/964,457
  6. Step 6: Final answer
    x = 4,407,600.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.