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Finding the Third Proportional to 1,104,024.94 and 2,248,646.06

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Solution

The third proportional to 1,104,024.94 and 2,248,646.06 is: 4,579,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,024.94 : 2,248,646.06 = 2,248,646.06 : x
  2. Step 2: Convert to fraction form
    1,104,024.94/2,248,646.06 = 2,248,646.06/x
  3. Step 3: Cross multiply
    1,104,024.94x = 2,248,646.06 × 2,248,646.06
  4. Step 4: Simplify right side
    1,104,024.94x = 5,056,409,114,396.75
  5. Step 5: Solve for x
    x = 5,056,409,114,396.75/1,104,024.94
  6. Step 6: Final answer
    x = 4,579,977.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.