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Finding the Third Proportional to 1,405,878 and 2,178,729

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Solution

The third proportional to 1,405,878 and 2,178,729 is: 3,376,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,878 : 2,178,729 = 2,178,729 : x
  2. Step 2: Convert to fraction form
    1,405,878/2,178,729 = 2,178,729/x
  3. Step 3: Cross multiply
    1,405,878x = 2,178,729 × 2,178,729
  4. Step 4: Simplify right side
    1,405,878x = 4,746,860,055,441
  5. Step 5: Solve for x
    x = 4,746,860,055,441/1,405,878
  6. Step 6: Final answer
    x = 3,376,438.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.