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Finding the Third Proportional to 547,026 and 1,189,803

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Solution

The third proportional to 547,026 and 1,189,803 is: 2,587,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,026 : 1,189,803 = 1,189,803 : x
  2. Step 2: Convert to fraction form
    547,026/1,189,803 = 1,189,803/x
  3. Step 3: Cross multiply
    547,026x = 1,189,803 × 1,189,803
  4. Step 4: Simplify right side
    547,026x = 1,415,631,178,809
  5. Step 5: Solve for x
    x = 1,415,631,178,809/547,026
  6. Step 6: Final answer
    x = 2,587,868.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.