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Finding the Third Proportional to 2,477,310.75 and 3,828,701.25

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Solution

The third proportional to 2,477,310.75 and 3,828,701.25 is: 5,917,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,310.75 : 3,828,701.25 = 3,828,701.25 : x
  2. Step 2: Convert to fraction form
    2,477,310.75/3,828,701.25 = 3,828,701.25/x
  3. Step 3: Cross multiply
    2,477,310.75x = 3,828,701.25 × 3,828,701.25
  4. Step 4: Simplify right side
    2,477,310.75x = 14,658,953,261,751.56
  5. Step 5: Solve for x
    x = 14,658,953,261,751.56/2,477,310.75
  6. Step 6: Final answer
    x = 5,917,284.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.