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Finding the Third Proportional to 1,463,983.88 and 3,172,334.63

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Solution

The third proportional to 1,463,983.88 and 3,172,334.63 is: 6,874,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,983.88 : 3,172,334.63 = 3,172,334.63 : x
  2. Step 2: Convert to fraction form
    1,463,983.88/3,172,334.63 = 3,172,334.63/x
  3. Step 3: Cross multiply
    1,463,983.88x = 3,172,334.63 × 3,172,334.63
  4. Step 4: Simplify right side
    1,463,983.88x = 10,063,706,972,973.89
  5. Step 5: Solve for x
    x = 10,063,706,972,973.89/1,463,983.88
  6. Step 6: Final answer
    x = 6,874,192.50

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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.