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Finding the Third Proportional to 1,462,833.75 and 1,941,024.38

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Solution

The third proportional to 1,462,833.75 and 1,941,024.38 is: 2,575,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,833.75 : 1,941,024.38 = 1,941,024.38 : x
  2. Step 2: Convert to fraction form
    1,462,833.75/1,941,024.38 = 1,941,024.38/x
  3. Step 3: Cross multiply
    1,462,833.75x = 1,941,024.38 × 1,941,024.38
  4. Step 4: Simplify right side
    1,462,833.75x = 3,767,575,624,344.14
  5. Step 5: Solve for x
    x = 3,767,575,624,344.14/1,462,833.75
  6. Step 6: Final answer
    x = 2,575,532.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.