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Finding the Third Proportional to 667,349 and 1,034,201

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Solution

The third proportional to 667,349 and 1,034,201 is: 1,602,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,349 : 1,034,201 = 1,034,201 : x
  2. Step 2: Convert to fraction form
    667,349/1,034,201 = 1,034,201/x
  3. Step 3: Cross multiply
    667,349x = 1,034,201 × 1,034,201
  4. Step 4: Simplify right side
    667,349x = 1,069,571,708,401
  5. Step 5: Solve for x
    x = 1,069,571,708,401/667,349
  6. Step 6: Final answer
    x = 1,602,717.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.