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Finding the Third Proportional to 4,298,758 and 6,902,783

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Solution

The third proportional to 4,298,758 and 6,902,783 is: 11,084,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298,758 : 6,902,783 = 6,902,783 : x
  2. Step 2: Convert to fraction form
    4,298,758/6,902,783 = 6,902,783/x
  3. Step 3: Cross multiply
    4,298,758x = 6,902,783 × 6,902,783
  4. Step 4: Simplify right side
    4,298,758x = 47,648,413,145,089
  5. Step 5: Solve for x
    x = 47,648,413,145,089/4,298,758
  6. Step 6: Final answer
    x = 11,084,227.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.