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Finding the Third Proportional to 809,064 and 1,773,648

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Solution

The third proportional to 809,064 and 1,773,648 is: 3,888,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,064 : 1,773,648 = 1,773,648 : x
  2. Step 2: Convert to fraction form
    809,064/1,773,648 = 1,773,648/x
  3. Step 3: Cross multiply
    809,064x = 1,773,648 × 1,773,648
  4. Step 4: Simplify right side
    809,064x = 3,145,827,227,904
  5. Step 5: Solve for x
    x = 3,145,827,227,904/809,064
  6. Step 6: Final answer
    x = 3,888,230.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.