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Finding the Third Proportional to 506,738 and 1,101,091

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Solution

The third proportional to 506,738 and 1,101,091 is: 2,392,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,738 : 1,101,091 = 1,101,091 : x
  2. Step 2: Convert to fraction form
    506,738/1,101,091 = 1,101,091/x
  3. Step 3: Cross multiply
    506,738x = 1,101,091 × 1,101,091
  4. Step 4: Simplify right side
    506,738x = 1,212,401,390,281
  5. Step 5: Solve for x
    x = 1,212,401,390,281/506,738
  6. Step 6: Final answer
    x = 2,392,560.63

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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.