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Finding the Third Proportional to 1,356,342.75 and 1,896,369

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Solution

The third proportional to 1,356,342.75 and 1,896,369 is: 2,651,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,342.75 : 1,896,369 = 1,896,369 : x
  2. Step 2: Convert to fraction form
    1,356,342.75/1,896,369 = 1,896,369/x
  3. Step 3: Cross multiply
    1,356,342.75x = 1,896,369 × 1,896,369
  4. Step 4: Simplify right side
    1,356,342.75x = 3,596,215,384,161
  5. Step 5: Solve for x
    x = 3,596,215,384,161/1,356,342.75
  6. Step 6: Final answer
    x = 2,651,406.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.