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Finding the Third Proportional to 1,397,310.75 and 2,853,397.13

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Solution

The third proportional to 1,397,310.75 and 2,853,397.13 is: 5,826,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,310.75 : 2,853,397.13 = 2,853,397.13 : x
  2. Step 2: Convert to fraction form
    1,397,310.75/2,853,397.13 = 2,853,397.13/x
  3. Step 3: Cross multiply
    1,397,310.75x = 2,853,397.13 × 2,853,397.13
  4. Step 4: Simplify right side
    1,397,310.75x = 8,141,875,152,958.27
  5. Step 5: Solve for x
    x = 8,141,875,152,958.27/1,397,310.75
  6. Step 6: Final answer
    x = 5,826,817.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.