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Finding the Third Proportional to 736,071 and 1,584,895

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Solution

The third proportional to 736,071 and 1,584,895 is: 3,412,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,071 : 1,584,895 = 1,584,895 : x
  2. Step 2: Convert to fraction form
    736,071/1,584,895 = 1,584,895/x
  3. Step 3: Cross multiply
    736,071x = 1,584,895 × 1,584,895
  4. Step 4: Simplify right side
    736,071x = 2,511,892,161,025
  5. Step 5: Solve for x
    x = 2,511,892,161,025/736,071
  6. Step 6: Final answer
    x = 3,412,567.76

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