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Finding the Third Proportional to 426,984 and 919,946

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Solution

The third proportional to 426,984 and 919,946 is: 1,982,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,984 : 919,946 = 919,946 : x
  2. Step 2: Convert to fraction form
    426,984/919,946 = 919,946/x
  3. Step 3: Cross multiply
    426,984x = 919,946 × 919,946
  4. Step 4: Simplify right side
    426,984x = 846,300,642,916
  5. Step 5: Solve for x
    x = 846,300,642,916/426,984
  6. Step 6: Final answer
    x = 1,982,042.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.