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Finding the Third Proportional to 1,419,492.75 and 3,078,564.38

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Solution

The third proportional to 1,419,492.75 and 3,078,564.38 is: 6,676,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,492.75 : 3,078,564.38 = 3,078,564.38 : x
  2. Step 2: Convert to fraction form
    1,419,492.75/3,078,564.38 = 3,078,564.38/x
  3. Step 3: Cross multiply
    1,419,492.75x = 3,078,564.38 × 3,078,564.38
  4. Step 4: Simplify right side
    1,419,492.75x = 9,477,558,611,019.14
  5. Step 5: Solve for x
    x = 9,477,558,611,019.14/1,419,492.75
  6. Step 6: Final answer
    x = 6,676,722.10

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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.