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Finding the Third Proportional to 801,326,704 and 1,740,597,250

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Solution

The third proportional to 801,326,704 and 1,740,597,250 is: 3,780,828,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,326,704 : 1,740,597,250 = 1,740,597,250 : x
  2. Step 2: Convert to fraction form
    801,326,704/1,740,597,250 = 1,740,597,250/x
  3. Step 3: Cross multiply
    801,326,704x = 1,740,597,250 × 1,740,597,250
  4. Step 4: Simplify right side
    801,326,704x = 3,029,678,786,707,562,496
  5. Step 5: Solve for x
    x = 3,029,678,786,707,562,496/801,326,704
  6. Step 6: Final answer
    x = 3,780,828,433.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.