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Finding the Third Proportional to 596,210 and 1,277,732

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Solution

The third proportional to 596,210 and 1,277,732 is: 2,738,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,210 : 1,277,732 = 1,277,732 : x
  2. Step 2: Convert to fraction form
    596,210/1,277,732 = 1,277,732/x
  3. Step 3: Cross multiply
    596,210x = 1,277,732 × 1,277,732
  4. Step 4: Simplify right side
    596,210x = 1,632,599,063,824
  5. Step 5: Solve for x
    x = 1,632,599,063,824/596,210
  6. Step 6: Final answer
    x = 2,738,295.34

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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.