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Finding the Third Proportional to 2,118,216 and 4,609,168

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Solution

The third proportional to 2,118,216 and 4,609,168 is: 10,029,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,216 : 4,609,168 = 4,609,168 : x
  2. Step 2: Convert to fraction form
    2,118,216/4,609,168 = 4,609,168/x
  3. Step 3: Cross multiply
    2,118,216x = 4,609,168 × 4,609,168
  4. Step 4: Simplify right side
    2,118,216x = 21,244,429,652,224
  5. Step 5: Solve for x
    x = 21,244,429,652,224/2,118,216
  6. Step 6: Final answer
    x = 10,029,397.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.