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Finding the Third Proportional to 606,719 and 898,141

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Solution

The third proportional to 606,719 and 898,141 is: 1,329,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,719 : 898,141 = 898,141 : x
  2. Step 2: Convert to fraction form
    606,719/898,141 = 898,141/x
  3. Step 3: Cross multiply
    606,719x = 898,141 × 898,141
  4. Step 4: Simplify right side
    606,719x = 806,657,255,881
  5. Step 5: Solve for x
    x = 806,657,255,881/606,719
  6. Step 6: Final answer
    x = 1,329,540.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.