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Finding the Third Proportional to 898,720 and 1,954,904

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Solution

The third proportional to 898,720 and 1,954,904 is: 4,252,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,720 : 1,954,904 = 1,954,904 : x
  2. Step 2: Convert to fraction form
    898,720/1,954,904 = 1,954,904/x
  3. Step 3: Cross multiply
    898,720x = 1,954,904 × 1,954,904
  4. Step 4: Simplify right side
    898,720x = 3,821,649,649,216
  5. Step 5: Solve for x
    x = 3,821,649,649,216/898,720
  6. Step 6: Final answer
    x = 4,252,325.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.