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Finding the Third Proportional to 1,728,898 and 2,537,253

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Solution

The third proportional to 1,728,898 and 2,537,253 is: 3,723,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,898 : 2,537,253 = 2,537,253 : x
  2. Step 2: Convert to fraction form
    1,728,898/2,537,253 = 2,537,253/x
  3. Step 3: Cross multiply
    1,728,898x = 2,537,253 × 2,537,253
  4. Step 4: Simplify right side
    1,728,898x = 6,437,652,786,009
  5. Step 5: Solve for x
    x = 6,437,652,786,009/1,728,898
  6. Step 6: Final answer
    x = 3,723,558.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.