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Finding the Third Proportional to 1,778,064 and 4,194,744

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Solution

The third proportional to 1,778,064 and 4,194,744 is: 9,896,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,064 : 4,194,744 = 4,194,744 : x
  2. Step 2: Convert to fraction form
    1,778,064/4,194,744 = 4,194,744/x
  3. Step 3: Cross multiply
    1,778,064x = 4,194,744 × 4,194,744
  4. Step 4: Simplify right side
    1,778,064x = 17,595,877,225,536
  5. Step 5: Solve for x
    x = 17,595,877,225,536/1,778,064
  6. Step 6: Final answer
    x = 9,896,087.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.