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Finding the Third Proportional to 977,193 and 1,409,734

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Solution

The third proportional to 977,193 and 1,409,734 is: 2,033,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,193 : 1,409,734 = 1,409,734 : x
  2. Step 2: Convert to fraction form
    977,193/1,409,734 = 1,409,734/x
  3. Step 3: Cross multiply
    977,193x = 1,409,734 × 1,409,734
  4. Step 4: Simplify right side
    977,193x = 1,987,349,950,756
  5. Step 5: Solve for x
    x = 1,987,349,950,756/977,193
  6. Step 6: Final answer
    x = 2,033,733.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.