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Finding the Third Proportional to 986,948 and 1,446,200

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Solution

The third proportional to 986,948 and 1,446,200 is: 2,119,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,948 : 1,446,200 = 1,446,200 : x
  2. Step 2: Convert to fraction form
    986,948/1,446,200 = 1,446,200/x
  3. Step 3: Cross multiply
    986,948x = 1,446,200 × 1,446,200
  4. Step 4: Simplify right side
    986,948x = 2,091,494,440,000
  5. Step 5: Solve for x
    x = 2,091,494,440,000/986,948
  6. Step 6: Final answer
    x = 2,119,153.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.