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Finding the Third Proportional to 734,212 and 1,507,948

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Solution

The third proportional to 734,212 and 1,507,948 is: 3,097,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,212 : 1,507,948 = 1,507,948 : x
  2. Step 2: Convert to fraction form
    734,212/1,507,948 = 1,507,948/x
  3. Step 3: Cross multiply
    734,212x = 1,507,948 × 1,507,948
  4. Step 4: Simplify right side
    734,212x = 2,273,907,170,704
  5. Step 5: Solve for x
    x = 2,273,907,170,704/734,212
  6. Step 6: Final answer
    x = 3,097,071.65

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.