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Finding the Third Proportional to 369,122,519 and 539,670,019

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Solution

The third proportional to 369,122,519 and 539,670,019 is: 789,016,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,122,519 : 539,670,019 = 539,670,019 : x
  2. Step 2: Convert to fraction form
    369,122,519/539,670,019 = 539,670,019/x
  3. Step 3: Cross multiply
    369,122,519x = 539,670,019 × 539,670,019
  4. Step 4: Simplify right side
    369,122,519x = 291,243,729,407,460,352
  5. Step 5: Solve for x
    x = 291,243,729,407,460,352/369,122,519
  6. Step 6: Final answer
    x = 789,016,422.51

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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.