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Finding the Third Proportional to 1,604,200 and 2,140,764

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Solution

The third proportional to 1,604,200 and 2,140,764 is: 2,856,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,200 : 2,140,764 = 2,140,764 : x
  2. Step 2: Convert to fraction form
    1,604,200/2,140,764 = 2,140,764/x
  3. Step 3: Cross multiply
    1,604,200x = 2,140,764 × 2,140,764
  4. Step 4: Simplify right side
    1,604,200x = 4,582,870,503,696
  5. Step 5: Solve for x
    x = 4,582,870,503,696/1,604,200
  6. Step 6: Final answer
    x = 2,856,794.98

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.