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Finding the Third Proportional to 426,653 and 914,028

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Solution

The third proportional to 426,653 and 914,028 is: 1,958,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,653 : 914,028 = 914,028 : x
  2. Step 2: Convert to fraction form
    426,653/914,028 = 914,028/x
  3. Step 3: Cross multiply
    426,653x = 914,028 × 914,028
  4. Step 4: Simplify right side
    426,653x = 835,447,184,784
  5. Step 5: Solve for x
    x = 835,447,184,784/426,653
  6. Step 6: Final answer
    x = 1,958,142.06

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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.