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Finding the Third Proportional to 426,850 and 932,420

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Solution

The third proportional to 426,850 and 932,420 is: 2,036,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,850 : 932,420 = 932,420 : x
  2. Step 2: Convert to fraction form
    426,850/932,420 = 932,420/x
  3. Step 3: Cross multiply
    426,850x = 932,420 × 932,420
  4. Step 4: Simplify right side
    426,850x = 869,407,056,400
  5. Step 5: Solve for x
    x = 869,407,056,400/426,850
  6. Step 6: Final answer
    x = 2,036,797.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.