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Finding the Third Proportional to 830,604 and 1,818,456

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Solution

The third proportional to 830,604 and 1,818,456 is: 3,981,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,604 : 1,818,456 = 1,818,456 : x
  2. Step 2: Convert to fraction form
    830,604/1,818,456 = 1,818,456/x
  3. Step 3: Cross multiply
    830,604x = 1,818,456 × 1,818,456
  4. Step 4: Simplify right side
    830,604x = 3,306,782,223,936
  5. Step 5: Solve for x
    x = 3,306,782,223,936/830,604
  6. Step 6: Final answer
    x = 3,981,177.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.