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Finding the Third Proportional to 543,502 and 1,111,196

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Solution

The third proportional to 543,502 and 1,111,196 is: 2,271,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,502 : 1,111,196 = 1,111,196 : x
  2. Step 2: Convert to fraction form
    543,502/1,111,196 = 1,111,196/x
  3. Step 3: Cross multiply
    543,502x = 1,111,196 × 1,111,196
  4. Step 4: Simplify right side
    543,502x = 1,234,756,550,416
  5. Step 5: Solve for x
    x = 1,234,756,550,416/543,502
  6. Step 6: Final answer
    x = 2,271,852.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.