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Finding the Third Proportional to 589,382,648 and 1,283,327,548

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Solution

The third proportional to 589,382,648 and 1,283,327,548 is: 2,794,329,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,382,648 : 1,283,327,548 = 1,283,327,548 : x
  2. Step 2: Convert to fraction form
    589,382,648/1,283,327,548 = 1,283,327,548/x
  3. Step 3: Cross multiply
    589,382,648x = 1,283,327,548 × 1,283,327,548
  4. Step 4: Simplify right side
    589,382,648x = 1,646,929,595,455,692,288
  5. Step 5: Solve for x
    x = 1,646,929,595,455,692,288/589,382,648
  6. Step 6: Final answer
    x = 2,794,329,967.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.