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Finding the Third Proportional to 2,076,538 and 3,143,497

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Solution

The third proportional to 2,076,538 and 3,143,497 is: 4,758,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,538 : 3,143,497 = 3,143,497 : x
  2. Step 2: Convert to fraction form
    2,076,538/3,143,497 = 3,143,497/x
  3. Step 3: Cross multiply
    2,076,538x = 3,143,497 × 3,143,497
  4. Step 4: Simplify right side
    2,076,538x = 9,881,573,389,009
  5. Step 5: Solve for x
    x = 9,881,573,389,009/2,076,538
  6. Step 6: Final answer
    x = 4,758,676.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.