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Finding the Third Proportional to 420,174 and 899,412

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Solution

The third proportional to 420,174 and 899,412 is: 1,925,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,174 : 899,412 = 899,412 : x
  2. Step 2: Convert to fraction form
    420,174/899,412 = 899,412/x
  3. Step 3: Cross multiply
    420,174x = 899,412 × 899,412
  4. Step 4: Simplify right side
    420,174x = 808,941,945,744
  5. Step 5: Solve for x
    x = 808,941,945,744/420,174
  6. Step 6: Final answer
    x = 1,925,254.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.