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Finding the Third Proportional to 493,440 and 1,025,664

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Solution

The third proportional to 493,440 and 1,025,664 is: 2,131,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,440 : 1,025,664 = 1,025,664 : x
  2. Step 2: Convert to fraction form
    493,440/1,025,664 = 1,025,664/x
  3. Step 3: Cross multiply
    493,440x = 1,025,664 × 1,025,664
  4. Step 4: Simplify right side
    493,440x = 1,051,986,640,896
  5. Step 5: Solve for x
    x = 1,051,986,640,896/493,440
  6. Step 6: Final answer
    x = 2,131,944.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.