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Finding the Third Proportional to 1,383,117 and 2,834,515.50

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Solution

The third proportional to 1,383,117 and 2,834,515.50 is: 5,808,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,117 : 2,834,515.50 = 2,834,515.50 : x
  2. Step 2: Convert to fraction form
    1,383,117/2,834,515.50 = 2,834,515.50/x
  3. Step 3: Cross multiply
    1,383,117x = 2,834,515.50 × 2,834,515.50
  4. Step 4: Simplify right side
    1,383,117x = 8,034,478,119,740.25
  5. Step 5: Solve for x
    x = 8,034,478,119,740.25/1,383,117
  6. Step 6: Final answer
    x = 5,808,964.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.