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Finding the Third Proportional to 1,827,793.13 and 2,828,763

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Solution

The third proportional to 1,827,793.13 and 2,828,763 is: 4,377,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,793.13 : 2,828,763 = 2,828,763 : x
  2. Step 2: Convert to fraction form
    1,827,793.13/2,828,763 = 2,828,763/x
  3. Step 3: Cross multiply
    1,827,793.13x = 2,828,763 × 2,828,763
  4. Step 4: Simplify right side
    1,827,793.13x = 8,001,900,110,169
  5. Step 5: Solve for x
    x = 8,001,900,110,169/1,827,793.13
  6. Step 6: Final answer
    x = 4,377,902.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.