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Finding the Third Proportional to 1,178,676 and 2,545,164

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Solution

The third proportional to 1,178,676 and 2,545,164 is: 5,495,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,676 : 2,545,164 = 2,545,164 : x
  2. Step 2: Convert to fraction form
    1,178,676/2,545,164 = 2,545,164/x
  3. Step 3: Cross multiply
    1,178,676x = 2,545,164 × 2,545,164
  4. Step 4: Simplify right side
    1,178,676x = 6,477,859,786,896
  5. Step 5: Solve for x
    x = 6,477,859,786,896/1,178,676
  6. Step 6: Final answer
    x = 5,495,878.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.