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Finding the Third Proportional to 750,758 and 1,619,615

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Solution

The third proportional to 750,758 and 1,619,615 is: 3,494,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,758 : 1,619,615 = 1,619,615 : x
  2. Step 2: Convert to fraction form
    750,758/1,619,615 = 1,619,615/x
  3. Step 3: Cross multiply
    750,758x = 1,619,615 × 1,619,615
  4. Step 4: Simplify right side
    750,758x = 2,623,152,748,225
  5. Step 5: Solve for x
    x = 2,623,152,748,225/750,758
  6. Step 6: Final answer
    x = 3,494,005.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.