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Finding the Third Proportional to 274,171,846 and 593,485,964

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Solution

The third proportional to 274,171,846 and 593,485,964 is: 1,284,689,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,171,846 : 593,485,964 = 593,485,964 : x
  2. Step 2: Convert to fraction form
    274,171,846/593,485,964 = 593,485,964/x
  3. Step 3: Cross multiply
    274,171,846x = 593,485,964 × 593,485,964
  4. Step 4: Simplify right side
    274,171,846x = 352,225,589,465,009,280
  5. Step 5: Solve for x
    x = 352,225,589,465,009,280/274,171,846
  6. Step 6: Final answer
    x = 1,284,689,126.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.