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Finding the Third Proportional to 983,236 and 1,501,098

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Solution

The third proportional to 983,236 and 1,501,098 is: 2,291,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,236 : 1,501,098 = 1,501,098 : x
  2. Step 2: Convert to fraction form
    983,236/1,501,098 = 1,501,098/x
  3. Step 3: Cross multiply
    983,236x = 1,501,098 × 1,501,098
  4. Step 4: Simplify right side
    983,236x = 2,253,295,205,604
  5. Step 5: Solve for x
    x = 2,253,295,205,604/983,236
  6. Step 6: Final answer
    x = 2,291,713.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.