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Finding the Third Proportional to 816,516 and 1,773,242

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Solution

The third proportional to 816,516 and 1,773,242 is: 3,850,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,516 : 1,773,242 = 1,773,242 : x
  2. Step 2: Convert to fraction form
    816,516/1,773,242 = 1,773,242/x
  3. Step 3: Cross multiply
    816,516x = 1,773,242 × 1,773,242
  4. Step 4: Simplify right side
    816,516x = 3,144,387,190,564
  5. Step 5: Solve for x
    x = 3,144,387,190,564/816,516
  6. Step 6: Final answer
    x = 3,850,980.50

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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.