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Finding the Third Proportional to 550,301 and 1,192,201

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Solution

The third proportional to 550,301 and 1,192,201 is: 2,582,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,301 : 1,192,201 = 1,192,201 : x
  2. Step 2: Convert to fraction form
    550,301/1,192,201 = 1,192,201/x
  3. Step 3: Cross multiply
    550,301x = 1,192,201 × 1,192,201
  4. Step 4: Simplify right side
    550,301x = 1,421,343,224,401
  5. Step 5: Solve for x
    x = 1,421,343,224,401/550,301
  6. Step 6: Final answer
    x = 2,582,846.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.