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Finding the Third Proportional to 1,016,142 and 1,559,349

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Solution

The third proportional to 1,016,142 and 1,559,349 is: 2,392,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,142 : 1,559,349 = 1,559,349 : x
  2. Step 2: Convert to fraction form
    1,016,142/1,559,349 = 1,559,349/x
  3. Step 3: Cross multiply
    1,016,142x = 1,559,349 × 1,559,349
  4. Step 4: Simplify right side
    1,016,142x = 2,431,569,303,801
  5. Step 5: Solve for x
    x = 2,431,569,303,801/1,016,142
  6. Step 6: Final answer
    x = 2,392,942.43

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