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Finding the Third Proportional to 852,852 and 1,766,088

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Solution

The third proportional to 852,852 and 1,766,088 is: 3,657,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,852 : 1,766,088 = 1,766,088 : x
  2. Step 2: Convert to fraction form
    852,852/1,766,088 = 1,766,088/x
  3. Step 3: Cross multiply
    852,852x = 1,766,088 × 1,766,088
  4. Step 4: Simplify right side
    852,852x = 3,119,066,823,744
  5. Step 5: Solve for x
    x = 3,119,066,823,744/852,852
  6. Step 6: Final answer
    x = 3,657,219.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.