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Finding the Third Proportional to 787,180 and 1,630,376

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Solution

The third proportional to 787,180 and 1,630,376 is: 3,376,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,180 : 1,630,376 = 1,630,376 : x
  2. Step 2: Convert to fraction form
    787,180/1,630,376 = 1,630,376/x
  3. Step 3: Cross multiply
    787,180x = 1,630,376 × 1,630,376
  4. Step 4: Simplify right side
    787,180x = 2,658,125,901,376
  5. Step 5: Solve for x
    x = 2,658,125,901,376/787,180
  6. Step 6: Final answer
    x = 3,376,770.12

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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.