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Finding the Third Proportional to 698,078 and 1,120,010

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Solution

The third proportional to 698,078 and 1,120,010 is: 1,796,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,078 : 1,120,010 = 1,120,010 : x
  2. Step 2: Convert to fraction form
    698,078/1,120,010 = 1,120,010/x
  3. Step 3: Cross multiply
    698,078x = 1,120,010 × 1,120,010
  4. Step 4: Simplify right side
    698,078x = 1,254,422,400,100
  5. Step 5: Solve for x
    x = 1,254,422,400,100/698,078
  6. Step 6: Final answer
    x = 1,796,965.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.