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Finding the Third Proportional to 595,968 and 1,277,232

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Solution

The third proportional to 595,968 and 1,277,232 is: 2,737,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,968 : 1,277,232 = 1,277,232 : x
  2. Step 2: Convert to fraction form
    595,968/1,277,232 = 1,277,232/x
  3. Step 3: Cross multiply
    595,968x = 1,277,232 × 1,277,232
  4. Step 4: Simplify right side
    595,968x = 1,631,321,581,824
  5. Step 5: Solve for x
    x = 1,631,321,581,824/595,968
  6. Step 6: Final answer
    x = 2,737,263.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.