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Finding the Third Proportional to 610,460 and 898,036

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Solution

The third proportional to 610,460 and 898,036 is: 1,321,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,460 : 898,036 = 898,036 : x
  2. Step 2: Convert to fraction form
    610,460/898,036 = 898,036/x
  3. Step 3: Cross multiply
    610,460x = 898,036 × 898,036
  4. Step 4: Simplify right side
    610,460x = 806,468,657,296
  5. Step 5: Solve for x
    x = 806,468,657,296/610,460
  6. Step 6: Final answer
    x = 1,321,083.54

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