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Finding the Third Proportional to 724,186 and 1,095,596

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Solution

The third proportional to 724,186 and 1,095,596 is: 1,657,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,186 : 1,095,596 = 1,095,596 : x
  2. Step 2: Convert to fraction form
    724,186/1,095,596 = 1,095,596/x
  3. Step 3: Cross multiply
    724,186x = 1,095,596 × 1,095,596
  4. Step 4: Simplify right side
    724,186x = 1,200,330,595,216
  5. Step 5: Solve for x
    x = 1,200,330,595,216/724,186
  6. Step 6: Final answer
    x = 1,657,489.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.