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Finding the Third Proportional to 567,000 and 1,159,920

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Solution

The third proportional to 567,000 and 1,159,920 is: 2,372,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,000 : 1,159,920 = 1,159,920 : x
  2. Step 2: Convert to fraction form
    567,000/1,159,920 = 1,159,920/x
  3. Step 3: Cross multiply
    567,000x = 1,159,920 × 1,159,920
  4. Step 4: Simplify right side
    567,000x = 1,345,414,406,400
  5. Step 5: Solve for x
    x = 1,345,414,406,400/567,000
  6. Step 6: Final answer
    x = 2,372,864.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.