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Finding the Third Proportional to 597,928 and 1,290,248

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Solution

The third proportional to 597,928 and 1,290,248 is: 2,784,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,928 : 1,290,248 = 1,290,248 : x
  2. Step 2: Convert to fraction form
    597,928/1,290,248 = 1,290,248/x
  3. Step 3: Cross multiply
    597,928x = 1,290,248 × 1,290,248
  4. Step 4: Simplify right side
    597,928x = 1,664,739,901,504
  5. Step 5: Solve for x
    x = 1,664,739,901,504/597,928
  6. Step 6: Final answer
    x = 2,784,181.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.