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Finding the Third Proportional to 551,742 and 1,182,228

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Solution

The third proportional to 551,742 and 1,182,228 is: 2,533,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,742 : 1,182,228 = 1,182,228 : x
  2. Step 2: Convert to fraction form
    551,742/1,182,228 = 1,182,228/x
  3. Step 3: Cross multiply
    551,742x = 1,182,228 × 1,182,228
  4. Step 4: Simplify right side
    551,742x = 1,397,663,043,984
  5. Step 5: Solve for x
    x = 1,397,663,043,984/551,742
  6. Step 6: Final answer
    x = 2,533,182.26

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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.