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Finding the Third Proportional to 595,958 and 1,293,504

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Solution

The third proportional to 595,958 and 1,293,504 is: 2,807,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,958 : 1,293,504 = 1,293,504 : x
  2. Step 2: Convert to fraction form
    595,958/1,293,504 = 1,293,504/x
  3. Step 3: Cross multiply
    595,958x = 1,293,504 × 1,293,504
  4. Step 4: Simplify right side
    595,958x = 1,673,152,598,016
  5. Step 5: Solve for x
    x = 1,673,152,598,016/595,958
  6. Step 6: Final answer
    x = 2,807,500.86

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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.