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Finding the Third Proportional to 661,242 and 989,298

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Solution

The third proportional to 661,242 and 989,298 is: 1,480,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,242 : 989,298 = 989,298 : x
  2. Step 2: Convert to fraction form
    661,242/989,298 = 989,298/x
  3. Step 3: Cross multiply
    661,242x = 989,298 × 989,298
  4. Step 4: Simplify right side
    661,242x = 978,710,532,804
  5. Step 5: Solve for x
    x = 978,710,532,804/661,242
  6. Step 6: Final answer
    x = 1,480,109.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.