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Finding the Third Proportional to 898,581 and 1,954,617

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Solution

The third proportional to 898,581 and 1,954,617 is: 4,251,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,581 : 1,954,617 = 1,954,617 : x
  2. Step 2: Convert to fraction form
    898,581/1,954,617 = 1,954,617/x
  3. Step 3: Cross multiply
    898,581x = 1,954,617 × 1,954,617
  4. Step 4: Simplify right side
    898,581x = 3,820,527,616,689
  5. Step 5: Solve for x
    x = 3,820,527,616,689/898,581
  6. Step 6: Final answer
    x = 4,251,734.25

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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.