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Finding the Third Proportional to 610,440 and 898,018

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Solution

The third proportional to 610,440 and 898,018 is: 1,321,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,440 : 898,018 = 898,018 : x
  2. Step 2: Convert to fraction form
    610,440/898,018 = 898,018/x
  3. Step 3: Cross multiply
    610,440x = 898,018 × 898,018
  4. Step 4: Simplify right side
    610,440x = 806,436,328,324
  5. Step 5: Solve for x
    x = 806,436,328,324/610,440
  6. Step 6: Final answer
    x = 1,321,073.86

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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.