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Finding the Third Proportional to 531,954 and 797,922

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Solution

The third proportional to 531,954 and 797,922 is: 1,196,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,954 : 797,922 = 797,922 : x
  2. Step 2: Convert to fraction form
    531,954/797,922 = 797,922/x
  3. Step 3: Cross multiply
    531,954x = 797,922 × 797,922
  4. Step 4: Simplify right side
    531,954x = 636,679,518,084
  5. Step 5: Solve for x
    x = 636,679,518,084/531,954
  6. Step 6: Final answer
    x = 1,196,869.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.