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Finding the Third Proportional to 1,828,033 and 3,961,154

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Solution

The third proportional to 1,828,033 and 3,961,154 is: 8,583,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,033 : 3,961,154 = 3,961,154 : x
  2. Step 2: Convert to fraction form
    1,828,033/3,961,154 = 3,961,154/x
  3. Step 3: Cross multiply
    1,828,033x = 3,961,154 × 3,961,154
  4. Step 4: Simplify right side
    1,828,033x = 15,690,741,011,716
  5. Step 5: Solve for x
    x = 15,690,741,011,716/1,828,033
  6. Step 6: Final answer
    x = 8,583,401.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.