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Finding the Third Proportional to 1,836,290 and 3,938,212

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Solution

The third proportional to 1,836,290 and 3,938,212 is: 8,446,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,290 : 3,938,212 = 3,938,212 : x
  2. Step 2: Convert to fraction form
    1,836,290/3,938,212 = 3,938,212/x
  3. Step 3: Cross multiply
    1,836,290x = 3,938,212 × 3,938,212
  4. Step 4: Simplify right side
    1,836,290x = 15,509,513,756,944
  5. Step 5: Solve for x
    x = 15,509,513,756,944/1,836,290
  6. Step 6: Final answer
    x = 8,446,113.50

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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.