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Finding the Third Proportional to 816,511 and 1,773,232

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Solution

The third proportional to 816,511 and 1,773,232 is: 3,850,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,511 : 1,773,232 = 1,773,232 : x
  2. Step 2: Convert to fraction form
    816,511/1,773,232 = 1,773,232/x
  3. Step 3: Cross multiply
    816,511x = 1,773,232 × 1,773,232
  4. Step 4: Simplify right side
    816,511x = 3,144,351,725,824
  5. Step 5: Solve for x
    x = 3,144,351,725,824/816,511
  6. Step 6: Final answer
    x = 3,850,960.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.