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Finding the Third Proportional to 809,776.50 and 1,772,097

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Solution

The third proportional to 809,776.50 and 1,772,097 is: 3,878,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,776.50 : 1,772,097 = 1,772,097 : x
  2. Step 2: Convert to fraction form
    809,776.50/1,772,097 = 1,772,097/x
  3. Step 3: Cross multiply
    809,776.50x = 1,772,097 × 1,772,097
  4. Step 4: Simplify right side
    809,776.50x = 3,140,327,777,409
  5. Step 5: Solve for x
    x = 3,140,327,777,409/809,776.50
  6. Step 6: Final answer
    x = 3,878,017.92

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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.