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Finding the Third Proportional to 436,694 and 954,852

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Solution

The third proportional to 436,694 and 954,852 is: 2,087,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,694 : 954,852 = 954,852 : x
  2. Step 2: Convert to fraction form
    436,694/954,852 = 954,852/x
  3. Step 3: Cross multiply
    436,694x = 954,852 × 954,852
  4. Step 4: Simplify right side
    436,694x = 911,742,341,904
  5. Step 5: Solve for x
    x = 911,742,341,904/436,694
  6. Step 6: Final answer
    x = 2,087,828.87

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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.