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Finding the Third Proportional to 581,997 and 1,255,739

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Solution

The third proportional to 581,997 and 1,255,739 is: 2,709,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,997 : 1,255,739 = 1,255,739 : x
  2. Step 2: Convert to fraction form
    581,997/1,255,739 = 1,255,739/x
  3. Step 3: Cross multiply
    581,997x = 1,255,739 × 1,255,739
  4. Step 4: Simplify right side
    581,997x = 1,576,880,436,121
  5. Step 5: Solve for x
    x = 1,576,880,436,121/581,997
  6. Step 6: Final answer
    x = 2,709,430.52

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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.