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Finding the Third Proportional to 1,171,973 and 2,487,832

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Solution

The third proportional to 1,171,973 and 2,487,832 is: 5,281,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,973 : 2,487,832 = 2,487,832 : x
  2. Step 2: Convert to fraction form
    1,171,973/2,487,832 = 2,487,832/x
  3. Step 3: Cross multiply
    1,171,973x = 2,487,832 × 2,487,832
  4. Step 4: Simplify right side
    1,171,973x = 6,189,308,060,224
  5. Step 5: Solve for x
    x = 6,189,308,060,224/1,171,973
  6. Step 6: Final answer
    x = 5,281,101.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.