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Finding the Third Proportional to 508,738 and 1,106,049

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Solution

The third proportional to 508,738 and 1,106,049 is: 2,404,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,738 : 1,106,049 = 1,106,049 : x
  2. Step 2: Convert to fraction form
    508,738/1,106,049 = 1,106,049/x
  3. Step 3: Cross multiply
    508,738x = 1,106,049 × 1,106,049
  4. Step 4: Simplify right side
    508,738x = 1,223,344,390,401
  5. Step 5: Solve for x
    x = 1,223,344,390,401/508,738
  6. Step 6: Final answer
    x = 2,404,664.86

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