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Finding the Third Proportional to 426,469 and 905,426

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Solution

The third proportional to 426,469 and 905,426 is: 1,922,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,469 : 905,426 = 905,426 : x
  2. Step 2: Convert to fraction form
    426,469/905,426 = 905,426/x
  3. Step 3: Cross multiply
    426,469x = 905,426 × 905,426
  4. Step 4: Simplify right side
    426,469x = 819,796,241,476
  5. Step 5: Solve for x
    x = 819,796,241,476/426,469
  6. Step 6: Final answer
    x = 1,922,288.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.