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Finding the Third Proportional to 2,146,266 and 4,665,271.50

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Solution

The third proportional to 2,146,266 and 4,665,271.50 is: 10,140,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,266 : 4,665,271.50 = 4,665,271.50 : x
  2. Step 2: Convert to fraction form
    2,146,266/4,665,271.50 = 4,665,271.50/x
  3. Step 3: Cross multiply
    2,146,266x = 4,665,271.50 × 4,665,271.50
  4. Step 4: Simplify right side
    2,146,266x = 21,764,758,168,712.25
  5. Step 5: Solve for x
    x = 21,764,758,168,712.25/2,146,266
  6. Step 6: Final answer
    x = 10,140,755.23

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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.