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Finding the Third Proportional to 538,946 and 898,190

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Solution

The third proportional to 538,946 and 898,190 is: 1,496,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,946 : 898,190 = 898,190 : x
  2. Step 2: Convert to fraction form
    538,946/898,190 = 898,190/x
  3. Step 3: Cross multiply
    538,946x = 898,190 × 898,190
  4. Step 4: Simplify right side
    538,946x = 806,745,276,100
  5. Step 5: Solve for x
    x = 806,745,276,100/538,946
  6. Step 6: Final answer
    x = 1,496,894.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.