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Finding the Third Proportional to 702,665 and 1,562,542

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Solution

The third proportional to 702,665 and 1,562,542 is: 3,474,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,665 : 1,562,542 = 1,562,542 : x
  2. Step 2: Convert to fraction form
    702,665/1,562,542 = 1,562,542/x
  3. Step 3: Cross multiply
    702,665x = 1,562,542 × 1,562,542
  4. Step 4: Simplify right side
    702,665x = 2,441,537,501,764
  5. Step 5: Solve for x
    x = 2,441,537,501,764/702,665
  6. Step 6: Final answer
    x = 3,474,682.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.