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Finding the Third Proportional to 533,146 and 1,184,390

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Solution

The third proportional to 533,146 and 1,184,390 is: 2,631,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,146 : 1,184,390 = 1,184,390 : x
  2. Step 2: Convert to fraction form
    533,146/1,184,390 = 1,184,390/x
  3. Step 3: Cross multiply
    533,146x = 1,184,390 × 1,184,390
  4. Step 4: Simplify right side
    533,146x = 1,402,779,672,100
  5. Step 5: Solve for x
    x = 1,402,779,672,100/533,146
  6. Step 6: Final answer
    x = 2,631,136.07

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.