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Finding the Third Proportional to 660,764 and 1,442,896

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Solution

The third proportional to 660,764 and 1,442,896 is: 3,150,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,764 : 1,442,896 = 1,442,896 : x
  2. Step 2: Convert to fraction form
    660,764/1,442,896 = 1,442,896/x
  3. Step 3: Cross multiply
    660,764x = 1,442,896 × 1,442,896
  4. Step 4: Simplify right side
    660,764x = 2,081,948,866,816
  5. Step 5: Solve for x
    x = 2,081,948,866,816/660,764
  6. Step 6: Final answer
    x = 3,150,820.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.