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Finding the Third Proportional to 2,149,686 and 4,692,348

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Solution

The third proportional to 2,149,686 and 4,692,348 is: 10,242,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149,686 : 4,692,348 = 4,692,348 : x
  2. Step 2: Convert to fraction form
    2,149,686/4,692,348 = 4,692,348/x
  3. Step 3: Cross multiply
    2,149,686x = 4,692,348 × 4,692,348
  4. Step 4: Simplify right side
    2,149,686x = 22,018,129,753,104
  5. Step 5: Solve for x
    x = 22,018,129,753,104/2,149,686
  6. Step 6: Final answer
    x = 10,242,486.46

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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.