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Finding the Third Proportional to 1,336,746 and 2,194,416

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Solution

The third proportional to 1,336,746 and 2,194,416 is: 3,602,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,746 : 2,194,416 = 2,194,416 : x
  2. Step 2: Convert to fraction form
    1,336,746/2,194,416 = 2,194,416/x
  3. Step 3: Cross multiply
    1,336,746x = 2,194,416 × 2,194,416
  4. Step 4: Simplify right side
    1,336,746x = 4,815,461,581,056
  5. Step 5: Solve for x
    x = 4,815,461,581,056/1,336,746
  6. Step 6: Final answer
    x = 3,602,375.90

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.