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Finding the Third Proportional to 6,204,230 and 9,312,906

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Solution

The third proportional to 6,204,230 and 9,312,906 is: 13,979,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,230 : 9,312,906 = 9,312,906 : x
  2. Step 2: Convert to fraction form
    6,204,230/9,312,906 = 9,312,906/x
  3. Step 3: Cross multiply
    6,204,230x = 9,312,906 × 9,312,906
  4. Step 4: Simplify right side
    6,204,230x = 86,730,218,164,836
  5. Step 5: Solve for x
    x = 86,730,218,164,836/6,204,230
  6. Step 6: Final answer
    x = 13,979,207.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.