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Finding the Third Proportional to 852,072 and 1,867,101

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Solution

The third proportional to 852,072 and 1,867,101 is: 4,091,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,072 : 1,867,101 = 1,867,101 : x
  2. Step 2: Convert to fraction form
    852,072/1,867,101 = 1,867,101/x
  3. Step 3: Cross multiply
    852,072x = 1,867,101 × 1,867,101
  4. Step 4: Simplify right side
    852,072x = 3,486,066,144,201
  5. Step 5: Solve for x
    x = 3,486,066,144,201/852,072
  6. Step 6: Final answer
    x = 4,091,281.19

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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.