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Finding the Third Proportional to 986,316 and 1,485,144

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Solution

The third proportional to 986,316 and 1,485,144 is: 2,236,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,316 : 1,485,144 = 1,485,144 : x
  2. Step 2: Convert to fraction form
    986,316/1,485,144 = 1,485,144/x
  3. Step 3: Cross multiply
    986,316x = 1,485,144 × 1,485,144
  4. Step 4: Simplify right side
    986,316x = 2,205,652,700,736
  5. Step 5: Solve for x
    x = 2,205,652,700,736/986,316
  6. Step 6: Final answer
    x = 2,236,253.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.