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Finding the Third Proportional to 705,615 and 1,060,014

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Solution

The third proportional to 705,615 and 1,060,014 is: 1,592,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,615 : 1,060,014 = 1,060,014 : x
  2. Step 2: Convert to fraction form
    705,615/1,060,014 = 1,060,014/x
  3. Step 3: Cross multiply
    705,615x = 1,060,014 × 1,060,014
  4. Step 4: Simplify right side
    705,615x = 1,123,629,680,196
  5. Step 5: Solve for x
    x = 1,123,629,680,196/705,615
  6. Step 6: Final answer
    x = 1,592,411.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.