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Finding the Third Proportional to 1,835,559 and 3,976,164

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Solution

The third proportional to 1,835,559 and 3,976,164 is: 8,613,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,559 : 3,976,164 = 3,976,164 : x
  2. Step 2: Convert to fraction form
    1,835,559/3,976,164 = 3,976,164/x
  3. Step 3: Cross multiply
    1,835,559x = 3,976,164 × 3,976,164
  4. Step 4: Simplify right side
    1,835,559x = 15,809,880,154,896
  5. Step 5: Solve for x
    x = 15,809,880,154,896/1,835,559
  6. Step 6: Final answer
    x = 8,613,114.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.