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Finding the Third Proportional to 1,159,214.77 and 2,477,958.89

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Solution

The third proportional to 1,159,214.77 and 2,477,958.89 is: 5,296,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,214.77 : 2,477,958.89 = 2,477,958.89 : x
  2. Step 2: Convert to fraction form
    1,159,214.77/2,477,958.89 = 2,477,958.89/x
  3. Step 3: Cross multiply
    1,159,214.77x = 2,477,958.89 × 2,477,958.89
  4. Step 4: Simplify right side
    1,159,214.77x = 6,140,280,263,627.48
  5. Step 5: Solve for x
    x = 6,140,280,263,627.48/1,159,214.77
  6. Step 6: Final answer
    x = 5,296,930.69

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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.