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Finding the Third Proportional to 787,180 and 1,630,370

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Solution

The third proportional to 787,180 and 1,630,370 is: 3,376,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,180 : 1,630,370 = 1,630,370 : x
  2. Step 2: Convert to fraction form
    787,180/1,630,370 = 1,630,370/x
  3. Step 3: Cross multiply
    787,180x = 1,630,370 × 1,630,370
  4. Step 4: Simplify right side
    787,180x = 2,658,106,336,900
  5. Step 5: Solve for x
    x = 2,658,106,336,900/787,180
  6. Step 6: Final answer
    x = 3,376,745.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.