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Finding the Third Proportional to 869,199 and 1,343,166

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Solution

The third proportional to 869,199 and 1,343,166 is: 2,075,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,199 : 1,343,166 = 1,343,166 : x
  2. Step 2: Convert to fraction form
    869,199/1,343,166 = 1,343,166/x
  3. Step 3: Cross multiply
    869,199x = 1,343,166 × 1,343,166
  4. Step 4: Simplify right side
    869,199x = 1,804,094,903,556
  5. Step 5: Solve for x
    x = 1,804,094,903,556/869,199
  6. Step 6: Final answer
    x = 2,075,583.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.