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Finding the Third Proportional to 597,051 and 1,297,944

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Solution

The third proportional to 597,051 and 1,297,944 is: 2,821,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,051 : 1,297,944 = 1,297,944 : x
  2. Step 2: Convert to fraction form
    597,051/1,297,944 = 1,297,944/x
  3. Step 3: Cross multiply
    597,051x = 1,297,944 × 1,297,944
  4. Step 4: Simplify right side
    597,051x = 1,684,658,627,136
  5. Step 5: Solve for x
    x = 1,684,658,627,136/597,051
  6. Step 6: Final answer
    x = 2,821,632.70

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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.