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Finding the Third Proportional to 430,896 and 943,872

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Solution

The third proportional to 430,896 and 943,872 is: 2,067,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,896 : 943,872 = 943,872 : x
  2. Step 2: Convert to fraction form
    430,896/943,872 = 943,872/x
  3. Step 3: Cross multiply
    430,896x = 943,872 × 943,872
  4. Step 4: Simplify right side
    430,896x = 890,894,352,384
  5. Step 5: Solve for x
    x = 890,894,352,384/430,896
  6. Step 6: Final answer
    x = 2,067,539.16

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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.