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Finding the Third Proportional to 658,614 and 1,368,906

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Solution

The third proportional to 658,614 and 1,368,906 is: 2,845,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,614 : 1,368,906 = 1,368,906 : x
  2. Step 2: Convert to fraction form
    658,614/1,368,906 = 1,368,906/x
  3. Step 3: Cross multiply
    658,614x = 1,368,906 × 1,368,906
  4. Step 4: Simplify right side
    658,614x = 1,873,903,636,836
  5. Step 5: Solve for x
    x = 1,873,903,636,836/658,614
  6. Step 6: Final answer
    x = 2,845,222.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.