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Finding the Third Proportional to 703,463 and 1,089,945.75

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Solution

The third proportional to 703,463 and 1,089,945.75 is: 1,688,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,463 : 1,089,945.75 = 1,089,945.75 : x
  2. Step 2: Convert to fraction form
    703,463/1,089,945.75 = 1,089,945.75/x
  3. Step 3: Cross multiply
    703,463x = 1,089,945.75 × 1,089,945.75
  4. Step 4: Simplify right side
    703,463x = 1,187,981,737,943.06
  5. Step 5: Solve for x
    x = 1,187,981,737,943.06/703,463
  6. Step 6: Final answer
    x = 1,688,762.22

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Why These Related Problems?

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