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Finding the Third Proportional to 1,569,193.86 and 2,423,712.85

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Solution

The third proportional to 1,569,193.86 and 2,423,712.85 is: 3,743,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,193.86 : 2,423,712.85 = 2,423,712.85 : x
  2. Step 2: Convert to fraction form
    1,569,193.86/2,423,712.85 = 2,423,712.85/x
  3. Step 3: Cross multiply
    1,569,193.86x = 2,423,712.85 × 2,423,712.85
  4. Step 4: Simplify right side
    1,569,193.86x = 5,874,383,977,361.23
  5. Step 5: Solve for x
    x = 5,874,383,977,361.23/1,569,193.86
  6. Step 6: Final answer
    x = 3,743,568.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.