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Finding the Third Proportional to 1,296,021.75 and 2,827,875

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Solution

The third proportional to 1,296,021.75 and 2,827,875 is: 6,170,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,021.75 : 2,827,875 = 2,827,875 : x
  2. Step 2: Convert to fraction form
    1,296,021.75/2,827,875 = 2,827,875/x
  3. Step 3: Cross multiply
    1,296,021.75x = 2,827,875 × 2,827,875
  4. Step 4: Simplify right side
    1,296,021.75x = 7,996,877,015,625
  5. Step 5: Solve for x
    x = 7,996,877,015,625/1,296,021.75
  6. Step 6: Final answer
    x = 6,170,326.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.