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Finding the Third Proportional to 698,116 and 1,073,670

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Solution

The third proportional to 698,116 and 1,073,670 is: 1,651,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,116 : 1,073,670 = 1,073,670 : x
  2. Step 2: Convert to fraction form
    698,116/1,073,670 = 1,073,670/x
  3. Step 3: Cross multiply
    698,116x = 1,073,670 × 1,073,670
  4. Step 4: Simplify right side
    698,116x = 1,152,767,268,900
  5. Step 5: Solve for x
    x = 1,152,767,268,900/698,116
  6. Step 6: Final answer
    x = 1,651,254.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.