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Finding the Third Proportional to 734,202 and 1,507,932

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Solution

The third proportional to 734,202 and 1,507,932 is: 3,097,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,202 : 1,507,932 = 1,507,932 : x
  2. Step 2: Convert to fraction form
    734,202/1,507,932 = 1,507,932/x
  3. Step 3: Cross multiply
    734,202x = 1,507,932 × 1,507,932
  4. Step 4: Simplify right side
    734,202x = 2,273,858,916,624
  5. Step 5: Solve for x
    x = 2,273,858,916,624/734,202
  6. Step 6: Final answer
    x = 3,097,048.11

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Why These Related Problems?

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