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Finding the Third Proportional to 551,196 and 1,181,124

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Solution

The third proportional to 551,196 and 1,181,124 is: 2,530,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,196 : 1,181,124 = 1,181,124 : x
  2. Step 2: Convert to fraction form
    551,196/1,181,124 = 1,181,124/x
  3. Step 3: Cross multiply
    551,196x = 1,181,124 × 1,181,124
  4. Step 4: Simplify right side
    551,196x = 1,395,053,903,376
  5. Step 5: Solve for x
    x = 1,395,053,903,376/551,196
  6. Step 6: Final answer
    x = 2,530,957.96

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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.