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Finding the Third Proportional to 731,208 and 1,130,003

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Solution

The third proportional to 731,208 and 1,130,003 is: 1,746,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,208 : 1,130,003 = 1,130,003 : x
  2. Step 2: Convert to fraction form
    731,208/1,130,003 = 1,130,003/x
  3. Step 3: Cross multiply
    731,208x = 1,130,003 × 1,130,003
  4. Step 4: Simplify right side
    731,208x = 1,276,906,780,009
  5. Step 5: Solve for x
    x = 1,276,906,780,009/731,208
  6. Step 6: Final answer
    x = 1,746,297.61

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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.