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Finding the Third Proportional to 2,047,257 and 3,211,263

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Solution

The third proportional to 2,047,257 and 3,211,263 is: 5,037,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,257 : 3,211,263 = 3,211,263 : x
  2. Step 2: Convert to fraction form
    2,047,257/3,211,263 = 3,211,263/x
  3. Step 3: Cross multiply
    2,047,257x = 3,211,263 × 3,211,263
  4. Step 4: Simplify right side
    2,047,257x = 10,312,210,055,169
  5. Step 5: Solve for x
    x = 10,312,210,055,169/2,047,257
  6. Step 6: Final answer
    x = 5,037,086.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.