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Finding the Third Proportional to 1,367,658 and 2,967,138

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Solution

The third proportional to 1,367,658 and 2,967,138 is: 6,437,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,658 : 2,967,138 = 2,967,138 : x
  2. Step 2: Convert to fraction form
    1,367,658/2,967,138 = 2,967,138/x
  3. Step 3: Cross multiply
    1,367,658x = 2,967,138 × 2,967,138
  4. Step 4: Simplify right side
    1,367,658x = 8,803,907,911,044
  5. Step 5: Solve for x
    x = 8,803,907,911,044/1,367,658
  6. Step 6: Final answer
    x = 6,437,214.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.