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Finding the Third Proportional to 1,003,000,347 and 1,519,668,904.50

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Solution

The third proportional to 1,003,000,347 and 1,519,668,904.50 is: 2,302,485,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,000,347 : 1,519,668,904.50 = 1,519,668,904.50 : x
  2. Step 2: Convert to fraction form
    1,003,000,347/1,519,668,904.50 = 1,519,668,904.50/x
  3. Step 3: Cross multiply
    1,003,000,347x = 1,519,668,904.50 × 1,519,668,904.50
  4. Step 4: Simplify right side
    1,003,000,347x = 2,309,393,579,304,229,888
  5. Step 5: Solve for x
    x = 2,309,393,579,304,229,888/1,003,000,347
  6. Step 6: Final answer
    x = 2,302,485,324.37

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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.