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Finding the Third Proportional to 1,025,174 and 2,243,351

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Solution

The third proportional to 1,025,174 and 2,243,351 is: 4,909,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,174 : 2,243,351 = 2,243,351 : x
  2. Step 2: Convert to fraction form
    1,025,174/2,243,351 = 2,243,351/x
  3. Step 3: Cross multiply
    1,025,174x = 2,243,351 × 2,243,351
  4. Step 4: Simplify right side
    1,025,174x = 5,032,623,709,201
  5. Step 5: Solve for x
    x = 5,032,623,709,201/1,025,174
  6. Step 6: Final answer
    x = 4,909,043.45

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Why These Related Problems?

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