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Finding the Third Proportional to 610,670 and 898,240

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Solution

The third proportional to 610,670 and 898,240 is: 1,321,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,670 : 898,240 = 898,240 : x
  2. Step 2: Convert to fraction form
    610,670/898,240 = 898,240/x
  3. Step 3: Cross multiply
    610,670x = 898,240 × 898,240
  4. Step 4: Simplify right side
    610,670x = 806,835,097,600
  5. Step 5: Solve for x
    x = 806,835,097,600/610,670
  6. Step 6: Final answer
    x = 1,321,229.30

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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.