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Finding the Third Proportional to 426,336 and 920,982

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Solution

The third proportional to 426,336 and 920,982 is: 1,989,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,336 : 920,982 = 920,982 : x
  2. Step 2: Convert to fraction form
    426,336/920,982 = 920,982/x
  3. Step 3: Cross multiply
    426,336x = 920,982 × 920,982
  4. Step 4: Simplify right side
    426,336x = 848,207,844,324
  5. Step 5: Solve for x
    x = 848,207,844,324/426,336
  6. Step 6: Final answer
    x = 1,989,529.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.