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Finding the Third Proportional to 4,634,709 and 6,786,147

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Solution

The third proportional to 4,634,709 and 6,786,147 is: 9,936,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634,709 : 6,786,147 = 6,786,147 : x
  2. Step 2: Convert to fraction form
    4,634,709/6,786,147 = 6,786,147/x
  3. Step 3: Cross multiply
    4,634,709x = 6,786,147 × 6,786,147
  4. Step 4: Simplify right side
    4,634,709x = 46,051,791,105,609
  5. Step 5: Solve for x
    x = 46,051,791,105,609/4,634,709
  6. Step 6: Final answer
    x = 9,936,285.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.