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Finding the Third Proportional to 978,026 and 1,496,102

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Solution

The third proportional to 978,026 and 1,496,102 is: 2,288,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,026 : 1,496,102 = 1,496,102 : x
  2. Step 2: Convert to fraction form
    978,026/1,496,102 = 1,496,102/x
  3. Step 3: Cross multiply
    978,026x = 1,496,102 × 1,496,102
  4. Step 4: Simplify right side
    978,026x = 2,238,321,194,404
  5. Step 5: Solve for x
    x = 2,238,321,194,404/978,026
  6. Step 6: Final answer
    x = 2,288,611.14

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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.