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Finding the Third Proportional to 898,584 and 1,954,623

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Solution

The third proportional to 898,584 and 1,954,623 is: 4,251,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,584 : 1,954,623 = 1,954,623 : x
  2. Step 2: Convert to fraction form
    898,584/1,954,623 = 1,954,623/x
  3. Step 3: Cross multiply
    898,584x = 1,954,623 × 1,954,623
  4. Step 4: Simplify right side
    898,584x = 3,820,551,072,129
  5. Step 5: Solve for x
    x = 3,820,551,072,129/898,584
  6. Step 6: Final answer
    x = 4,251,746.16

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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.