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Finding the Third Proportional to 645,990 and 1,362,594

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Solution

The third proportional to 645,990 and 1,362,594 is: 2,874,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,990 : 1,362,594 = 1,362,594 : x
  2. Step 2: Convert to fraction form
    645,990/1,362,594 = 1,362,594/x
  3. Step 3: Cross multiply
    645,990x = 1,362,594 × 1,362,594
  4. Step 4: Simplify right side
    645,990x = 1,856,662,408,836
  5. Step 5: Solve for x
    x = 1,856,662,408,836/645,990
  6. Step 6: Final answer
    x = 2,874,134.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.