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Finding the Third Proportional to 476,548.31 and 1,047,551.06

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Solution

The third proportional to 476,548.31 and 1,047,551.06 is: 2,302,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,548.31 : 1,047,551.06 = 1,047,551.06 : x
  2. Step 2: Convert to fraction form
    476,548.31/1,047,551.06 = 1,047,551.06/x
  3. Step 3: Cross multiply
    476,548.31x = 1,047,551.06 × 1,047,551.06
  4. Step 4: Simplify right side
    476,548.31x = 1,097,363,228,544.88
  5. Step 5: Solve for x
    x = 1,097,363,228,544.88/476,548.31
  6. Step 6: Final answer
    x = 2,302,732.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.