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Finding the Third Proportional to 3,302,977.50 and 4,827,012.75

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Solution

The third proportional to 3,302,977.50 and 4,827,012.75 is: 7,054,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,977.50 : 4,827,012.75 = 4,827,012.75 : x
  2. Step 2: Convert to fraction form
    3,302,977.50/4,827,012.75 = 4,827,012.75/x
  3. Step 3: Cross multiply
    3,302,977.50x = 4,827,012.75 × 4,827,012.75
  4. Step 4: Simplify right side
    3,302,977.50x = 23,300,052,088,662.56
  5. Step 5: Solve for x
    x = 23,300,052,088,662.56/3,302,977.50
  6. Step 6: Final answer
    x = 7,054,256.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.