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Finding the Third Proportional to 761,709 and 1,622,112

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Solution

The third proportional to 761,709 and 1,622,112 is: 3,454,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,709 : 1,622,112 = 1,622,112 : x
  2. Step 2: Convert to fraction form
    761,709/1,622,112 = 1,622,112/x
  3. Step 3: Cross multiply
    761,709x = 1,622,112 × 1,622,112
  4. Step 4: Simplify right side
    761,709x = 2,631,247,340,544
  5. Step 5: Solve for x
    x = 2,631,247,340,544/761,709
  6. Step 6: Final answer
    x = 3,454,399.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.