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Finding the Third Proportional to 600,448 and 926,640

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Solution

The third proportional to 600,448 and 926,640 is: 1,430,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,448 : 926,640 = 926,640 : x
  2. Step 2: Convert to fraction form
    600,448/926,640 = 926,640/x
  3. Step 3: Cross multiply
    600,448x = 926,640 × 926,640
  4. Step 4: Simplify right side
    600,448x = 858,661,689,600
  5. Step 5: Solve for x
    x = 858,661,689,600/600,448
  6. Step 6: Final answer
    x = 1,430,035.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.