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Finding the Third Proportional to 4,634,703 and 6,786,139

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Solution

The third proportional to 4,634,703 and 6,786,139 is: 9,936,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634,703 : 6,786,139 = 6,786,139 : x
  2. Step 2: Convert to fraction form
    4,634,703/6,786,139 = 6,786,139/x
  3. Step 3: Cross multiply
    4,634,703x = 6,786,139 × 6,786,139
  4. Step 4: Simplify right side
    4,634,703x = 46,051,682,527,321
  5. Step 5: Solve for x
    x = 46,051,682,527,321/4,634,703
  6. Step 6: Final answer
    x = 9,936,274.78

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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.