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Finding the Third Proportional to 542,537.16 and 1,178,477.44

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Solution

The third proportional to 542,537.16 and 1,178,477.44 is: 2,559,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,537.16 : 1,178,477.44 = 1,178,477.44 : x
  2. Step 2: Convert to fraction form
    542,537.16/1,178,477.44 = 1,178,477.44/x
  3. Step 3: Cross multiply
    542,537.16x = 1,178,477.44 × 1,178,477.44
  4. Step 4: Simplify right side
    542,537.16x = 1,388,809,070,696.57
  5. Step 5: Solve for x
    x = 1,388,809,070,696.57/542,537.16
  6. Step 6: Final answer
    x = 2,559,841.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.