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Finding the Third Proportional to 1,003,000,349 and 1,519,668,908

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Solution

The third proportional to 1,003,000,349 and 1,519,668,908 is: 2,302,485,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,000,349 : 1,519,668,908 = 1,519,668,908 : x
  2. Step 2: Convert to fraction form
    1,003,000,349/1,519,668,908 = 1,519,668,908/x
  3. Step 3: Cross multiply
    1,003,000,349x = 1,519,668,908 × 1,519,668,908
  4. Step 4: Simplify right side
    1,003,000,349x = 2,309,393,589,941,912,576
  5. Step 5: Solve for x
    x = 2,309,393,589,941,912,576/1,003,000,349
  6. Step 6: Final answer
    x = 2,302,485,330.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.