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Finding the Third Proportional to 703,016 and 1,089,480

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Solution

The third proportional to 703,016 and 1,089,480 is: 1,688,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,016 : 1,089,480 = 1,089,480 : x
  2. Step 2: Convert to fraction form
    703,016/1,089,480 = 1,089,480/x
  3. Step 3: Cross multiply
    703,016x = 1,089,480 × 1,089,480
  4. Step 4: Simplify right side
    703,016x = 1,186,966,670,400
  5. Step 5: Solve for x
    x = 1,186,966,670,400/703,016
  6. Step 6: Final answer
    x = 1,688,392.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.