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Finding the Third Proportional to 426,756.94 and 914,400.56

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Solution

The third proportional to 426,756.94 and 914,400.56 is: 1,959,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,756.94 : 914,400.56 = 914,400.56 : x
  2. Step 2: Convert to fraction form
    426,756.94/914,400.56 = 914,400.56/x
  3. Step 3: Cross multiply
    426,756.94x = 914,400.56 × 914,400.56
  4. Step 4: Simplify right side
    426,756.94x = 836,128,388,700.32
  5. Step 5: Solve for x
    x = 836,128,388,700.32/426,756.94
  6. Step 6: Final answer
    x = 1,959,261.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.