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Finding the Third Proportional to 692,632 and 1,036,180

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Solution

The third proportional to 692,632 and 1,036,180 is: 1,550,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,632 : 1,036,180 = 1,036,180 : x
  2. Step 2: Convert to fraction form
    692,632/1,036,180 = 1,036,180/x
  3. Step 3: Cross multiply
    692,632x = 1,036,180 × 1,036,180
  4. Step 4: Simplify right side
    692,632x = 1,073,668,992,400
  5. Step 5: Solve for x
    x = 1,073,668,992,400/692,632
  6. Step 6: Final answer
    x = 1,550,129.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.