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Finding the Third Proportional to 1,406,036 and 2,178,968

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Solution

The third proportional to 1,406,036 and 2,178,968 is: 3,376,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,036 : 2,178,968 = 2,178,968 : x
  2. Step 2: Convert to fraction form
    1,406,036/2,178,968 = 2,178,968/x
  3. Step 3: Cross multiply
    1,406,036x = 2,178,968 × 2,178,968
  4. Step 4: Simplify right side
    1,406,036x = 4,747,901,545,024
  5. Step 5: Solve for x
    x = 4,747,901,545,024/1,406,036
  6. Step 6: Final answer
    x = 3,376,799.42

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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.