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Finding the Third Proportional to 1,640,581 and 2,405,465

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Solution

The third proportional to 1,640,581 and 2,405,465 is: 3,526,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,581 : 2,405,465 = 2,405,465 : x
  2. Step 2: Convert to fraction form
    1,640,581/2,405,465 = 2,405,465/x
  3. Step 3: Cross multiply
    1,640,581x = 2,405,465 × 2,405,465
  4. Step 4: Simplify right side
    1,640,581x = 5,786,261,866,225
  5. Step 5: Solve for x
    x = 5,786,261,866,225/1,640,581
  6. Step 6: Final answer
    x = 3,526,958.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.