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Finding the Third Proportional to 596,200 and 1,277,712

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Solution

The third proportional to 596,200 and 1,277,712 is: 2,738,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,200 : 1,277,712 = 1,277,712 : x
  2. Step 2: Convert to fraction form
    596,200/1,277,712 = 1,277,712/x
  3. Step 3: Cross multiply
    596,200x = 1,277,712 × 1,277,712
  4. Step 4: Simplify right side
    596,200x = 1,632,547,954,944
  5. Step 5: Solve for x
    x = 1,632,547,954,944/596,200
  6. Step 6: Final answer
    x = 2,738,255.54

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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.