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Finding the Third Proportional to 763,138 and 1,507,069

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Solution

The third proportional to 763,138 and 1,507,069 is: 2,976,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,138 : 1,507,069 = 1,507,069 : x
  2. Step 2: Convert to fraction form
    763,138/1,507,069 = 1,507,069/x
  3. Step 3: Cross multiply
    763,138x = 1,507,069 × 1,507,069
  4. Step 4: Simplify right side
    763,138x = 2,271,256,970,761
  5. Step 5: Solve for x
    x = 2,271,256,970,761/763,138
  6. Step 6: Final answer
    x = 2,976,207.41

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.