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Finding the Third Proportional to 503,082,820 and 799,974,509

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Solution

The third proportional to 503,082,820 and 799,974,509 is: 1,272,075,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,082,820 : 799,974,509 = 799,974,509 : x
  2. Step 2: Convert to fraction form
    503,082,820/799,974,509 = 799,974,509/x
  3. Step 3: Cross multiply
    503,082,820x = 799,974,509 × 799,974,509
  4. Step 4: Simplify right side
    503,082,820x = 639,959,215,049,791,104
  5. Step 5: Solve for x
    x = 639,959,215,049,791,104/503,082,820
  6. Step 6: Final answer
    x = 1,272,075,271.92

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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.