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Finding the Third Proportional to 1,378,082 and 2,955,412

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Solution

The third proportional to 1,378,082 and 2,955,412 is: 6,338,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,082 : 2,955,412 = 2,955,412 : x
  2. Step 2: Convert to fraction form
    1,378,082/2,955,412 = 2,955,412/x
  3. Step 3: Cross multiply
    1,378,082x = 2,955,412 × 2,955,412
  4. Step 4: Simplify right side
    1,378,082x = 8,734,460,089,744
  5. Step 5: Solve for x
    x = 8,734,460,089,744/1,378,082
  6. Step 6: Final answer
    x = 6,338,127.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.