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Finding the Third Proportional to 1,397,677.50 and 2,994,678

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Solution

The third proportional to 1,397,677.50 and 2,994,678 is: 6,416,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,677.50 : 2,994,678 = 2,994,678 : x
  2. Step 2: Convert to fraction form
    1,397,677.50/2,994,678 = 2,994,678/x
  3. Step 3: Cross multiply
    1,397,677.50x = 2,994,678 × 2,994,678
  4. Step 4: Simplify right side
    1,397,677.50x = 8,968,096,323,684
  5. Step 5: Solve for x
    x = 8,968,096,323,684/1,397,677.50
  6. Step 6: Final answer
    x = 6,416,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.