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Finding the Third Proportional to 1,536,726.94 and 2,255,267.81

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Solution

The third proportional to 1,536,726.94 and 2,255,267.81 is: 3,309,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,726.94 : 2,255,267.81 = 2,255,267.81 : x
  2. Step 2: Convert to fraction form
    1,536,726.94/2,255,267.81 = 2,255,267.81/x
  3. Step 3: Cross multiply
    1,536,726.94x = 2,255,267.81 × 2,255,267.81
  4. Step 4: Simplify right side
    1,536,726.94x = 5,086,232,906,098.54
  5. Step 5: Solve for x
    x = 5,086,232,906,098.54/1,536,726.94
  6. Step 6: Final answer
    x = 3,309,783.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.