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Finding the Third Proportional to 1,153,311 and 2,477,106

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Solution

The third proportional to 1,153,311 and 2,477,106 is: 5,320,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,311 : 2,477,106 = 2,477,106 : x
  2. Step 2: Convert to fraction form
    1,153,311/2,477,106 = 2,477,106/x
  3. Step 3: Cross multiply
    1,153,311x = 2,477,106 × 2,477,106
  4. Step 4: Simplify right side
    1,153,311x = 6,136,054,135,236
  5. Step 5: Solve for x
    x = 6,136,054,135,236/1,153,311
  6. Step 6: Final answer
    x = 5,320,381.18

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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.