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Finding the Third Proportional to 1,264,632 and 1,928,460

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Solution

The third proportional to 1,264,632 and 1,928,460 is: 2,940,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,632 : 1,928,460 = 1,928,460 : x
  2. Step 2: Convert to fraction form
    1,264,632/1,928,460 = 1,928,460/x
  3. Step 3: Cross multiply
    1,264,632x = 1,928,460 × 1,928,460
  4. Step 4: Simplify right side
    1,264,632x = 3,718,957,971,600
  5. Step 5: Solve for x
    x = 3,718,957,971,600/1,264,632
  6. Step 6: Final answer
    x = 2,940,743.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.