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Finding the Third Proportional to 1,153,314 and 2,477,112

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Solution

The third proportional to 1,153,314 and 2,477,112 is: 5,320,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,314 : 2,477,112 = 2,477,112 : x
  2. Step 2: Convert to fraction form
    1,153,314/2,477,112 = 2,477,112/x
  3. Step 3: Cross multiply
    1,153,314x = 2,477,112 × 2,477,112
  4. Step 4: Simplify right side
    1,153,314x = 6,136,083,860,544
  5. Step 5: Solve for x
    x = 6,136,083,860,544/1,153,314
  6. Step 6: Final answer
    x = 5,320,393.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.