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Finding the Third Proportional to 551,740 and 1,182,224

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Solution

The third proportional to 551,740 and 1,182,224 is: 2,533,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,740 : 1,182,224 = 1,182,224 : x
  2. Step 2: Convert to fraction form
    551,740/1,182,224 = 1,182,224/x
  3. Step 3: Cross multiply
    551,740x = 1,182,224 × 1,182,224
  4. Step 4: Simplify right side
    551,740x = 1,397,653,586,176
  5. Step 5: Solve for x
    x = 1,397,653,586,176/551,740
  6. Step 6: Final answer
    x = 2,533,174.30

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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.