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Finding the Third Proportional to 1,948,582.83 and 3,024,546.96

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Solution

The third proportional to 1,948,582.83 and 3,024,546.96 is: 4,694,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,582.83 : 3,024,546.96 = 3,024,546.96 : x
  2. Step 2: Convert to fraction form
    1,948,582.83/3,024,546.96 = 3,024,546.96/x
  3. Step 3: Cross multiply
    1,948,582.83x = 3,024,546.96 × 3,024,546.96
  4. Step 4: Simplify right side
    1,948,582.83x = 9,147,884,318,916.27
  5. Step 5: Solve for x
    x = 9,147,884,318,916.27/1,948,582.83
  6. Step 6: Final answer
    x = 4,694,634.58

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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.