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Finding the Third Proportional to 409,640 and 891,088

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Solution

The third proportional to 409,640 and 891,088 is: 1,938,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,640 : 891,088 = 891,088 : x
  2. Step 2: Convert to fraction form
    409,640/891,088 = 891,088/x
  3. Step 3: Cross multiply
    409,640x = 891,088 × 891,088
  4. Step 4: Simplify right side
    409,640x = 794,037,823,744
  5. Step 5: Solve for x
    x = 794,037,823,744/409,640
  6. Step 6: Final answer
    x = 1,938,379.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.