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Finding the Third Proportional to 436,817 and 954,454

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Solution

The third proportional to 436,817 and 954,454 is: 2,085,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,817 : 954,454 = 954,454 : x
  2. Step 2: Convert to fraction form
    436,817/954,454 = 954,454/x
  3. Step 3: Cross multiply
    436,817x = 954,454 × 954,454
  4. Step 4: Simplify right side
    436,817x = 910,982,438,116
  5. Step 5: Solve for x
    x = 910,982,438,116/436,817
  6. Step 6: Final answer
    x = 2,085,501.34

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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.