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Finding the Third Proportional to 2,076,908 and 4,485,971

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Solution

The third proportional to 2,076,908 and 4,485,971 is: 9,689,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,908 : 4,485,971 = 4,485,971 : x
  2. Step 2: Convert to fraction form
    2,076,908/4,485,971 = 4,485,971/x
  3. Step 3: Cross multiply
    2,076,908x = 4,485,971 × 4,485,971
  4. Step 4: Simplify right side
    2,076,908x = 20,123,935,812,841
  5. Step 5: Solve for x
    x = 20,123,935,812,841/2,076,908
  6. Step 6: Final answer
    x = 9,689,372.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.