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Finding the Third Proportional to 726,064 and 1,153,162

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Solution

The third proportional to 726,064 and 1,153,162 is: 1,831,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,064 : 1,153,162 = 1,153,162 : x
  2. Step 2: Convert to fraction form
    726,064/1,153,162 = 1,153,162/x
  3. Step 3: Cross multiply
    726,064x = 1,153,162 × 1,153,162
  4. Step 4: Simplify right side
    726,064x = 1,329,782,598,244
  5. Step 5: Solve for x
    x = 1,329,782,598,244/726,064
  6. Step 6: Final answer
    x = 1,831,495.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.