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Finding the Third Proportional to 1,180,271 and 2,771,343

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Solution

The third proportional to 1,180,271 and 2,771,343 is: 6,507,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,271 : 2,771,343 = 2,771,343 : x
  2. Step 2: Convert to fraction form
    1,180,271/2,771,343 = 2,771,343/x
  3. Step 3: Cross multiply
    1,180,271x = 2,771,343 × 2,771,343
  4. Step 4: Simplify right side
    1,180,271x = 7,680,342,023,649
  5. Step 5: Solve for x
    x = 7,680,342,023,649/1,180,271
  6. Step 6: Final answer
    x = 6,507,269.96

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.