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Finding the Third Proportional to 534,632 and 1,152,840

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Solution

The third proportional to 534,632 and 1,152,840 is: 2,485,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,632 : 1,152,840 = 1,152,840 : x
  2. Step 2: Convert to fraction form
    534,632/1,152,840 = 1,152,840/x
  3. Step 3: Cross multiply
    534,632x = 1,152,840 × 1,152,840
  4. Step 4: Simplify right side
    534,632x = 1,329,040,065,600
  5. Step 5: Solve for x
    x = 1,329,040,065,600/534,632
  6. Step 6: Final answer
    x = 2,485,896.96

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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.