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Finding the Third Proportional to 533,739 and 1,172,454

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Solution

The third proportional to 533,739 and 1,172,454 is: 2,575,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,739 : 1,172,454 = 1,172,454 : x
  2. Step 2: Convert to fraction form
    533,739/1,172,454 = 1,172,454/x
  3. Step 3: Cross multiply
    533,739x = 1,172,454 × 1,172,454
  4. Step 4: Simplify right side
    533,739x = 1,374,648,382,116
  5. Step 5: Solve for x
    x = 1,374,648,382,116/533,739
  6. Step 6: Final answer
    x = 2,575,506.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.