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Finding the Third Proportional to 734,220 and 1,507,964

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Solution

The third proportional to 734,220 and 1,507,964 is: 3,097,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,220 : 1,507,964 = 1,507,964 : x
  2. Step 2: Convert to fraction form
    734,220/1,507,964 = 1,507,964/x
  3. Step 3: Cross multiply
    734,220x = 1,507,964 × 1,507,964
  4. Step 4: Simplify right side
    734,220x = 2,273,955,425,296
  5. Step 5: Solve for x
    x = 2,273,955,425,296/734,220
  6. Step 6: Final answer
    x = 3,097,103.63

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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.