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Finding the Third Proportional to 531,935 and 797,901

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Solution

The third proportional to 531,935 and 797,901 is: 1,196,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,935 : 797,901 = 797,901 : x
  2. Step 2: Convert to fraction form
    531,935/797,901 = 797,901/x
  3. Step 3: Cross multiply
    531,935x = 797,901 × 797,901
  4. Step 4: Simplify right side
    531,935x = 636,646,005,801
  5. Step 5: Solve for x
    x = 636,646,005,801/531,935
  6. Step 6: Final answer
    x = 1,196,849.25

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