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Finding the Third Proportional to 1,346,400 and 2,902,752

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Solution

The third proportional to 1,346,400 and 2,902,752 is: 6,258,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,400 : 2,902,752 = 2,902,752 : x
  2. Step 2: Convert to fraction form
    1,346,400/2,902,752 = 2,902,752/x
  3. Step 3: Cross multiply
    1,346,400x = 2,902,752 × 2,902,752
  4. Step 4: Simplify right side
    1,346,400x = 8,425,969,173,504
  5. Step 5: Solve for x
    x = 8,425,969,173,504/1,346,400
  6. Step 6: Final answer
    x = 6,258,147.04

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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.