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Finding the Third Proportional to 503,082,822 and 799,974,512

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Solution

The third proportional to 503,082,822 and 799,974,512 is: 1,272,075,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,082,822 : 799,974,512 = 799,974,512 : x
  2. Step 2: Convert to fraction form
    503,082,822/799,974,512 = 799,974,512/x
  3. Step 3: Cross multiply
    503,082,822x = 799,974,512 × 799,974,512
  4. Step 4: Simplify right side
    503,082,822x = 639,959,219,849,638,144
  5. Step 5: Solve for x
    x = 639,959,219,849,638,144/503,082,822
  6. Step 6: Final answer
    x = 1,272,075,276.40

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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.