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Finding the Third Proportional to 1,378,084 and 2,955,416

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Solution

The third proportional to 1,378,084 and 2,955,416 is: 6,338,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,084 : 2,955,416 = 2,955,416 : x
  2. Step 2: Convert to fraction form
    1,378,084/2,955,416 = 2,955,416/x
  3. Step 3: Cross multiply
    1,378,084x = 2,955,416 × 2,955,416
  4. Step 4: Simplify right side
    1,378,084x = 8,734,483,733,056
  5. Step 5: Solve for x
    x = 8,734,483,733,056/1,378,084
  6. Step 6: Final answer
    x = 6,338,135.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.