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Finding the Third Proportional to 536,426 and 1,159,967

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Solution

The third proportional to 536,426 and 1,159,967 is: 2,508,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,426 : 1,159,967 = 1,159,967 : x
  2. Step 2: Convert to fraction form
    536,426/1,159,967 = 1,159,967/x
  3. Step 3: Cross multiply
    536,426x = 1,159,967 × 1,159,967
  4. Step 4: Simplify right side
    536,426x = 1,345,523,441,089
  5. Step 5: Solve for x
    x = 1,345,523,441,089/536,426
  6. Step 6: Final answer
    x = 2,508,311.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.