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Finding the Third Proportional to 610,906 and 898,051

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Solution

The third proportional to 610,906 and 898,051 is: 1,320,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,906 : 898,051 = 898,051 : x
  2. Step 2: Convert to fraction form
    610,906/898,051 = 898,051/x
  3. Step 3: Cross multiply
    610,906x = 898,051 × 898,051
  4. Step 4: Simplify right side
    610,906x = 806,495,598,601
  5. Step 5: Solve for x
    x = 806,495,598,601/610,906
  6. Step 6: Final answer
    x = 1,320,163.17

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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.