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Finding the Third Proportional to 616,099 and 1,241,347

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Solution

The third proportional to 616,099 and 1,241,347 is: 2,501,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,099 : 1,241,347 = 1,241,347 : x
  2. Step 2: Convert to fraction form
    616,099/1,241,347 = 1,241,347/x
  3. Step 3: Cross multiply
    616,099x = 1,241,347 × 1,241,347
  4. Step 4: Simplify right side
    616,099x = 1,540,942,374,409
  5. Step 5: Solve for x
    x = 1,540,942,374,409/616,099
  6. Step 6: Final answer
    x = 2,501,127.86

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.