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Finding the Third Proportional to 610,568 and 898,184

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Solution

The third proportional to 610,568 and 898,184 is: 1,321,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,568 : 898,184 = 898,184 : x
  2. Step 2: Convert to fraction form
    610,568/898,184 = 898,184/x
  3. Step 3: Cross multiply
    610,568x = 898,184 × 898,184
  4. Step 4: Simplify right side
    610,568x = 806,734,497,856
  5. Step 5: Solve for x
    x = 806,734,497,856/610,568
  6. Step 6: Final answer
    x = 1,321,285.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.