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Finding the Third Proportional to 726,194 and 1,119,915

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Solution

The third proportional to 726,194 and 1,119,915 is: 1,727,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,194 : 1,119,915 = 1,119,915 : x
  2. Step 2: Convert to fraction form
    726,194/1,119,915 = 1,119,915/x
  3. Step 3: Cross multiply
    726,194x = 1,119,915 × 1,119,915
  4. Step 4: Simplify right side
    726,194x = 1,254,209,607,225
  5. Step 5: Solve for x
    x = 1,254,209,607,225/726,194
  6. Step 6: Final answer
    x = 1,727,099.93

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Why These Related Problems?

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