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Finding the Third Proportional to 2,048,133 and 2,950,263

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Solution

The third proportional to 2,048,133 and 2,950,263 is: 4,249,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,133 : 2,950,263 = 2,950,263 : x
  2. Step 2: Convert to fraction form
    2,048,133/2,950,263 = 2,950,263/x
  3. Step 3: Cross multiply
    2,048,133x = 2,950,263 × 2,950,263
  4. Step 4: Simplify right side
    2,048,133x = 8,704,051,769,169
  5. Step 5: Solve for x
    x = 8,704,051,769,169/2,048,133
  6. Step 6: Final answer
    x = 4,249,749.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.