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Finding the Third Proportional to 1,281,830.06 and 1,984,155.75

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Solution

The third proportional to 1,281,830.06 and 1,984,155.75 is: 3,071,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,830.06 : 1,984,155.75 = 1,984,155.75 : x
  2. Step 2: Convert to fraction form
    1,281,830.06/1,984,155.75 = 1,984,155.75/x
  3. Step 3: Cross multiply
    1,281,830.06x = 1,984,155.75 × 1,984,155.75
  4. Step 4: Simplify right side
    1,281,830.06x = 3,936,874,040,258.06
  5. Step 5: Solve for x
    x = 3,936,874,040,258.06/1,281,830.06
  6. Step 6: Final answer
    x = 3,071,291.71

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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.