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Finding the Third Proportional to 742,904 and 1,628,215

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Solution

The third proportional to 742,904 and 1,628,215 is: 3,568,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,904 : 1,628,215 = 1,628,215 : x
  2. Step 2: Convert to fraction form
    742,904/1,628,215 = 1,628,215/x
  3. Step 3: Cross multiply
    742,904x = 1,628,215 × 1,628,215
  4. Step 4: Simplify right side
    742,904x = 2,651,084,086,225
  5. Step 5: Solve for x
    x = 2,651,084,086,225/742,904
  6. Step 6: Final answer
    x = 3,568,541.95

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Why These Related Problems?

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