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Finding the Third Proportional to 2,129,316 and 3,216,162

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Solution

The third proportional to 2,129,316 and 3,216,162 is: 4,857,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,316 : 3,216,162 = 3,216,162 : x
  2. Step 2: Convert to fraction form
    2,129,316/3,216,162 = 3,216,162/x
  3. Step 3: Cross multiply
    2,129,316x = 3,216,162 × 3,216,162
  4. Step 4: Simplify right side
    2,129,316x = 10,343,698,010,244
  5. Step 5: Solve for x
    x = 10,343,698,010,244/2,129,316
  6. Step 6: Final answer
    x = 4,857,756.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.