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Finding the Third Proportional to 426,655 and 914,032

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Solution

The third proportional to 426,655 and 914,032 is: 1,958,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,655 : 914,032 = 914,032 : x
  2. Step 2: Convert to fraction form
    426,655/914,032 = 914,032/x
  3. Step 3: Cross multiply
    426,655x = 914,032 × 914,032
  4. Step 4: Simplify right side
    426,655x = 835,454,497,024
  5. Step 5: Solve for x
    x = 835,454,497,024/426,655
  6. Step 6: Final answer
    x = 1,958,150.02

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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.