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Finding the Third Proportional to 1,430,494.75 and 3,107,027

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Solution

The third proportional to 1,430,494.75 and 3,107,027 is: 6,748,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,494.75 : 3,107,027 = 3,107,027 : x
  2. Step 2: Convert to fraction form
    1,430,494.75/3,107,027 = 3,107,027/x
  3. Step 3: Cross multiply
    1,430,494.75x = 3,107,027 × 3,107,027
  4. Step 4: Simplify right side
    1,430,494.75x = 9,653,616,778,729
  5. Step 5: Solve for x
    x = 9,653,616,778,729/1,430,494.75
  6. Step 6: Final answer
    x = 6,748,446.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.