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Finding the Third Proportional to 2,083,264 and 4,565,360

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Solution

The third proportional to 2,083,264 and 4,565,360 is: 10,004,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,264 : 4,565,360 = 4,565,360 : x
  2. Step 2: Convert to fraction form
    2,083,264/4,565,360 = 4,565,360/x
  3. Step 3: Cross multiply
    2,083,264x = 4,565,360 × 4,565,360
  4. Step 4: Simplify right side
    2,083,264x = 20,842,511,929,600
  5. Step 5: Solve for x
    x = 20,842,511,929,600/2,083,264
  6. Step 6: Final answer
    x = 10,004,738.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.