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Finding the Third Proportional to 787,176 and 1,630,368

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Solution

The third proportional to 787,176 and 1,630,368 is: 3,376,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,176 : 1,630,368 = 1,630,368 : x
  2. Step 2: Convert to fraction form
    787,176/1,630,368 = 1,630,368/x
  3. Step 3: Cross multiply
    787,176x = 1,630,368 × 1,630,368
  4. Step 4: Simplify right side
    787,176x = 2,658,099,815,424
  5. Step 5: Solve for x
    x = 2,658,099,815,424/787,176
  6. Step 6: Final answer
    x = 3,376,754.14

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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.