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Finding the Third Proportional to 737,023 and 1,562,615

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Solution

The third proportional to 737,023 and 1,562,615 is: 3,313,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,023 : 1,562,615 = 1,562,615 : x
  2. Step 2: Convert to fraction form
    737,023/1,562,615 = 1,562,615/x
  3. Step 3: Cross multiply
    737,023x = 1,562,615 × 1,562,615
  4. Step 4: Simplify right side
    737,023x = 2,441,765,638,225
  5. Step 5: Solve for x
    x = 2,441,765,638,225/737,023
  6. Step 6: Final answer
    x = 3,313,011.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.