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Finding the Third Proportional to 472,416 and 1,036,992

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Solution

The third proportional to 472,416 and 1,036,992 is: 2,276,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,416 : 1,036,992 = 1,036,992 : x
  2. Step 2: Convert to fraction form
    472,416/1,036,992 = 1,036,992/x
  3. Step 3: Cross multiply
    472,416x = 1,036,992 × 1,036,992
  4. Step 4: Simplify right side
    472,416x = 1,075,352,408,064
  5. Step 5: Solve for x
    x = 1,075,352,408,064/472,416
  6. Step 6: Final answer
    x = 2,276,282.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.