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Finding the Third Proportional to 2,090,474 and 4,579,534

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Solution

The third proportional to 2,090,474 and 4,579,534 is: 10,032,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,474 : 4,579,534 = 4,579,534 : x
  2. Step 2: Convert to fraction form
    2,090,474/4,579,534 = 4,579,534/x
  3. Step 3: Cross multiply
    2,090,474x = 4,579,534 × 4,579,534
  4. Step 4: Simplify right side
    2,090,474x = 20,972,131,657,156
  5. Step 5: Solve for x
    x = 20,972,131,657,156/2,090,474
  6. Step 6: Final answer
    x = 10,032,237.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.