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Finding the Third Proportional to 2,938,418 and 6,174,286

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Solution

The third proportional to 2,938,418 and 6,174,286 is: 12,973,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,418 : 6,174,286 = 6,174,286 : x
  2. Step 2: Convert to fraction form
    2,938,418/6,174,286 = 6,174,286/x
  3. Step 3: Cross multiply
    2,938,418x = 6,174,286 × 6,174,286
  4. Step 4: Simplify right side
    2,938,418x = 38,121,807,609,796
  5. Step 5: Solve for x
    x = 38,121,807,609,796/2,938,418
  6. Step 6: Final answer
    x = 12,973,582.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.