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Finding the Third Proportional to 533,402 and 1,166,387

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Solution

The third proportional to 533,402 and 1,166,387 is: 2,550,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,402 : 1,166,387 = 1,166,387 : x
  2. Step 2: Convert to fraction form
    533,402/1,166,387 = 1,166,387/x
  3. Step 3: Cross multiply
    533,402x = 1,166,387 × 1,166,387
  4. Step 4: Simplify right side
    533,402x = 1,360,458,633,769
  5. Step 5: Solve for x
    x = 1,360,458,633,769/533,402
  6. Step 6: Final answer
    x = 2,550,531.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.