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Finding the Third Proportional to 770,556 and 1,208,733

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Solution

The third proportional to 770,556 and 1,208,733 is: 1,896,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,556 : 1,208,733 = 1,208,733 : x
  2. Step 2: Convert to fraction form
    770,556/1,208,733 = 1,208,733/x
  3. Step 3: Cross multiply
    770,556x = 1,208,733 × 1,208,733
  4. Step 4: Simplify right side
    770,556x = 1,461,035,465,289
  5. Step 5: Solve for x
    x = 1,461,035,465,289/770,556
  6. Step 6: Final answer
    x = 1,896,079.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.