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Finding the Third Proportional to 2,938,976 and 4,539,412

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Solution

The third proportional to 2,938,976 and 4,539,412 is: 7,011,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,976 : 4,539,412 = 4,539,412 : x
  2. Step 2: Convert to fraction form
    2,938,976/4,539,412 = 4,539,412/x
  3. Step 3: Cross multiply
    2,938,976x = 4,539,412 × 4,539,412
  4. Step 4: Simplify right side
    2,938,976x = 20,606,261,305,744
  5. Step 5: Solve for x
    x = 20,606,261,305,744/2,938,976
  6. Step 6: Final answer
    x = 7,011,374.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.