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Finding the Third Proportional to 654,457 and 1,427,174

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Solution

The third proportional to 654,457 and 1,427,174 is: 3,112,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,457 : 1,427,174 = 1,427,174 : x
  2. Step 2: Convert to fraction form
    654,457/1,427,174 = 1,427,174/x
  3. Step 3: Cross multiply
    654,457x = 1,427,174 × 1,427,174
  4. Step 4: Simplify right side
    654,457x = 2,036,825,626,276
  5. Step 5: Solve for x
    x = 2,036,825,626,276/654,457
  6. Step 6: Final answer
    x = 3,112,237.51

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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.