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Finding the Third Proportional to 927,504 and 1,393,470

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Solution

The third proportional to 927,504 and 1,393,470 is: 2,093,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,504 : 1,393,470 = 1,393,470 : x
  2. Step 2: Convert to fraction form
    927,504/1,393,470 = 1,393,470/x
  3. Step 3: Cross multiply
    927,504x = 1,393,470 × 1,393,470
  4. Step 4: Simplify right side
    927,504x = 1,941,758,640,900
  5. Step 5: Solve for x
    x = 1,941,758,640,900/927,504
  6. Step 6: Final answer
    x = 2,093,531.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.