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Finding the Third Proportional to 1,380,154 and 2,095,065

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Solution

The third proportional to 1,380,154 and 2,095,065 is: 3,180,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,154 : 2,095,065 = 2,095,065 : x
  2. Step 2: Convert to fraction form
    1,380,154/2,095,065 = 2,095,065/x
  3. Step 3: Cross multiply
    1,380,154x = 2,095,065 × 2,095,065
  4. Step 4: Simplify right side
    1,380,154x = 4,389,297,354,225
  5. Step 5: Solve for x
    x = 4,389,297,354,225/1,380,154
  6. Step 6: Final answer
    x = 3,180,295.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.