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Finding the Third Proportional to 1,100,830 and 1,550,211

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Solution

The third proportional to 1,100,830 and 1,550,211 is: 2,183,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,830 : 1,550,211 = 1,550,211 : x
  2. Step 2: Convert to fraction form
    1,100,830/1,550,211 = 1,550,211/x
  3. Step 3: Cross multiply
    1,100,830x = 1,550,211 × 1,550,211
  4. Step 4: Simplify right side
    1,100,830x = 2,403,154,144,521
  5. Step 5: Solve for x
    x = 2,403,154,144,521/1,100,830
  6. Step 6: Final answer
    x = 2,183,038.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.