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Finding the Third Proportional to 612,152.44 and 1,329,144.19

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Solution

The third proportional to 612,152.44 and 1,329,144.19 is: 2,885,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,152.44 : 1,329,144.19 = 1,329,144.19 : x
  2. Step 2: Convert to fraction form
    612,152.44/1,329,144.19 = 1,329,144.19/x
  3. Step 3: Cross multiply
    612,152.44x = 1,329,144.19 × 1,329,144.19
  4. Step 4: Simplify right side
    612,152.44x = 1,766,624,271,165.04
  5. Step 5: Solve for x
    x = 1,766,624,271,165.04/612,152.44
  6. Step 6: Final answer
    x = 2,885,922.14

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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.