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Finding the Third Proportional to 705,675 and 1,665,583.50

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Solution

The third proportional to 705,675 and 1,665,583.50 is: 3,931,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,675 : 1,665,583.50 = 1,665,583.50 : x
  2. Step 2: Convert to fraction form
    705,675/1,665,583.50 = 1,665,583.50/x
  3. Step 3: Cross multiply
    705,675x = 1,665,583.50 × 1,665,583.50
  4. Step 4: Simplify right side
    705,675x = 2,774,168,395,472.25
  5. Step 5: Solve for x
    x = 2,774,168,395,472.25/705,675
  6. Step 6: Final answer
    x = 3,931,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.