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Finding the Third Proportional to 1,289,100 and 2,783,184

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Solution

The third proportional to 1,289,100 and 2,783,184 is: 6,008,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,100 : 2,783,184 = 2,783,184 : x
  2. Step 2: Convert to fraction form
    1,289,100/2,783,184 = 2,783,184/x
  3. Step 3: Cross multiply
    1,289,100x = 2,783,184 × 2,783,184
  4. Step 4: Simplify right side
    1,289,100x = 7,746,113,177,856
  5. Step 5: Solve for x
    x = 7,746,113,177,856/1,289,100
  6. Step 6: Final answer
    x = 6,008,931.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.