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Finding the Third Proportional to 852,169 and 1,833,088

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Solution

The third proportional to 852,169 and 1,833,088 is: 3,943,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,169 : 1,833,088 = 1,833,088 : x
  2. Step 2: Convert to fraction form
    852,169/1,833,088 = 1,833,088/x
  3. Step 3: Cross multiply
    852,169x = 1,833,088 × 1,833,088
  4. Step 4: Simplify right side
    852,169x = 3,360,211,615,744
  5. Step 5: Solve for x
    x = 3,360,211,615,744/852,169
  6. Step 6: Final answer
    x = 3,943,128.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.