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Finding the Third Proportional to 812,726,828 and 1,780,723,000

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Solution

The third proportional to 812,726,828 and 1,780,723,000 is: 3,901,648,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,726,828 : 1,780,723,000 = 1,780,723,000 : x
  2. Step 2: Convert to fraction form
    812,726,828/1,780,723,000 = 1,780,723,000/x
  3. Step 3: Cross multiply
    812,726,828x = 1,780,723,000 × 1,780,723,000
  4. Step 4: Simplify right side
    812,726,828x = 3,170,974,402,728,999,936
  5. Step 5: Solve for x
    x = 3,170,974,402,728,999,936/812,726,828
  6. Step 6: Final answer
    x = 3,901,648,491.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.