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Finding the Third Proportional to 748,956 and 1,638,036

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Solution

The third proportional to 748,956 and 1,638,036 is: 3,582,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,956 : 1,638,036 = 1,638,036 : x
  2. Step 2: Convert to fraction form
    748,956/1,638,036 = 1,638,036/x
  3. Step 3: Cross multiply
    748,956x = 1,638,036 × 1,638,036
  4. Step 4: Simplify right side
    748,956x = 2,683,161,937,296
  5. Step 5: Solve for x
    x = 2,683,161,937,296/748,956
  6. Step 6: Final answer
    x = 3,582,536.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.