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Finding the Third Proportional to 503,082,812 and 799,974,498

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Solution

The third proportional to 503,082,812 and 799,974,498 is: 1,272,075,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,082,812 : 799,974,498 = 799,974,498 : x
  2. Step 2: Convert to fraction form
    503,082,812/799,974,498 = 799,974,498/x
  3. Step 3: Cross multiply
    503,082,812x = 799,974,498 × 799,974,498
  4. Step 4: Simplify right side
    503,082,812x = 639,959,197,450,352,000
  5. Step 5: Solve for x
    x = 639,959,197,450,352,000/503,082,812
  6. Step 6: Final answer
    x = 1,272,075,257.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.