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Finding the Third Proportional to 530,274 and 1,152,759

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Solution

The third proportional to 530,274 and 1,152,759 is: 2,505,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,274 : 1,152,759 = 1,152,759 : x
  2. Step 2: Convert to fraction form
    530,274/1,152,759 = 1,152,759/x
  3. Step 3: Cross multiply
    530,274x = 1,152,759 × 1,152,759
  4. Step 4: Simplify right side
    530,274x = 1,328,853,312,081
  5. Step 5: Solve for x
    x = 1,328,853,312,081/530,274
  6. Step 6: Final answer
    x = 2,505,974.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.