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Finding the Third Proportional to 2,021,953 and 4,328,216

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Solution

The third proportional to 2,021,953 and 4,328,216 is: 9,265,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,953 : 4,328,216 = 4,328,216 : x
  2. Step 2: Convert to fraction form
    2,021,953/4,328,216 = 4,328,216/x
  3. Step 3: Cross multiply
    2,021,953x = 4,328,216 × 4,328,216
  4. Step 4: Simplify right side
    2,021,953x = 18,733,453,742,656
  5. Step 5: Solve for x
    x = 18,733,453,742,656/2,021,953
  6. Step 6: Final answer
    x = 9,265,029.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.