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Finding the Third Proportional to 1,938,384 and 3,973,482

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Solution

The third proportional to 1,938,384 and 3,973,482 is: 8,145,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,384 : 3,973,482 = 3,973,482 : x
  2. Step 2: Convert to fraction form
    1,938,384/3,973,482 = 3,973,482/x
  3. Step 3: Cross multiply
    1,938,384x = 3,973,482 × 3,973,482
  4. Step 4: Simplify right side
    1,938,384x = 15,788,559,204,324
  5. Step 5: Solve for x
    x = 15,788,559,204,324/1,938,384
  6. Step 6: Final answer
    x = 8,145,217.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.