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Finding the Third Proportional to 1,356,339.94 and 1,896,364.41

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Solution

The third proportional to 1,356,339.94 and 1,896,364.41 is: 2,651,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,339.94 : 1,896,364.41 = 1,896,364.41 : x
  2. Step 2: Convert to fraction form
    1,356,339.94/1,896,364.41 = 1,896,364.41/x
  3. Step 3: Cross multiply
    1,356,339.94x = 1,896,364.41 × 1,896,364.41
  4. Step 4: Simplify right side
    1,356,339.94x = 3,596,197,961,291.92
  5. Step 5: Solve for x
    x = 3,596,197,961,291.92/1,356,339.94
  6. Step 6: Final answer
    x = 2,651,398.71

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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.