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Finding the Third Proportional to 426,810 and 914,475

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Solution

The third proportional to 426,810 and 914,475 is: 1,959,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,810 : 914,475 = 914,475 : x
  2. Step 2: Convert to fraction form
    426,810/914,475 = 914,475/x
  3. Step 3: Cross multiply
    426,810x = 914,475 × 914,475
  4. Step 4: Simplify right side
    426,810x = 836,264,525,625
  5. Step 5: Solve for x
    x = 836,264,525,625/426,810
  6. Step 6: Final answer
    x = 1,959,336.77

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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.