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Finding the Third Proportional to 1,688,405 and 2,414,256

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Solution

The third proportional to 1,688,405 and 2,414,256 is: 3,452,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,405 : 2,414,256 = 2,414,256 : x
  2. Step 2: Convert to fraction form
    1,688,405/2,414,256 = 2,414,256/x
  3. Step 3: Cross multiply
    1,688,405x = 2,414,256 × 2,414,256
  4. Step 4: Simplify right side
    1,688,405x = 5,828,632,033,536
  5. Step 5: Solve for x
    x = 5,828,632,033,536/1,688,405
  6. Step 6: Final answer
    x = 3,452,152.79

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.