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Finding the Third Proportional to 1,737,838.13 and 3,784,617

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Solution

The third proportional to 1,737,838.13 and 3,784,617 is: 8,242,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,838.13 : 3,784,617 = 3,784,617 : x
  2. Step 2: Convert to fraction form
    1,737,838.13/3,784,617 = 3,784,617/x
  3. Step 3: Cross multiply
    1,737,838.13x = 3,784,617 × 3,784,617
  4. Step 4: Simplify right side
    1,737,838.13x = 14,323,325,836,689
  5. Step 5: Solve for x
    x = 14,323,325,836,689/1,737,838.13
  6. Step 6: Final answer
    x = 8,242,036.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.