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Finding the Third Proportional to 430,983 and 926,827

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Solution

The third proportional to 430,983 and 926,827 is: 1,993,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,983 : 926,827 = 926,827 : x
  2. Step 2: Convert to fraction form
    430,983/926,827 = 926,827/x
  3. Step 3: Cross multiply
    430,983x = 926,827 × 926,827
  4. Step 4: Simplify right side
    430,983x = 859,008,287,929
  5. Step 5: Solve for x
    x = 859,008,287,929/430,983
  6. Step 6: Final answer
    x = 1,993,137.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.