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Finding the Third Proportional to 583,474,914 and 1,273,578,498

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Solution

The third proportional to 583,474,914 and 1,273,578,498 is: 2,779,900,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,474,914 : 1,273,578,498 = 1,273,578,498 : x
  2. Step 2: Convert to fraction form
    583,474,914/1,273,578,498 = 1,273,578,498/x
  3. Step 3: Cross multiply
    583,474,914x = 1,273,578,498 × 1,273,578,498
  4. Step 4: Simplify right side
    583,474,914x = 1,622,002,190,567,936,000
  5. Step 5: Solve for x
    x = 1,622,002,190,567,936,000/583,474,914
  6. Step 6: Final answer
    x = 2,779,900,474.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.