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Finding the Third Proportional to 997,026 and 1,496,803

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Solution

The third proportional to 997,026 and 1,496,803 is: 2,247,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,026 : 1,496,803 = 1,496,803 : x
  2. Step 2: Convert to fraction form
    997,026/1,496,803 = 1,496,803/x
  3. Step 3: Cross multiply
    997,026x = 1,496,803 × 1,496,803
  4. Step 4: Simplify right side
    997,026x = 2,240,419,220,809
  5. Step 5: Solve for x
    x = 2,240,419,220,809/997,026
  6. Step 6: Final answer
    x = 2,247,102.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.