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Finding the Third Proportional to 647,290 and 1,408,196

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Solution

The third proportional to 647,290 and 1,408,196 is: 3,063,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,290 : 1,408,196 = 1,408,196 : x
  2. Step 2: Convert to fraction form
    647,290/1,408,196 = 1,408,196/x
  3. Step 3: Cross multiply
    647,290x = 1,408,196 × 1,408,196
  4. Step 4: Simplify right side
    647,290x = 1,983,015,974,416
  5. Step 5: Solve for x
    x = 1,983,015,974,416/647,290
  6. Step 6: Final answer
    x = 3,063,566.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.