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Finding the Third Proportional to 931,593 and 1,995,984

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Solution

The third proportional to 931,593 and 1,995,984 is: 4,276,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,593 : 1,995,984 = 1,995,984 : x
  2. Step 2: Convert to fraction form
    931,593/1,995,984 = 1,995,984/x
  3. Step 3: Cross multiply
    931,593x = 1,995,984 × 1,995,984
  4. Step 4: Simplify right side
    931,593x = 3,983,952,128,256
  5. Step 5: Solve for x
    x = 3,983,952,128,256/931,593
  6. Step 6: Final answer
    x = 4,276,494.27

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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.