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Finding the Third Proportional to 1,829,708 and 3,865,404

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Solution

The third proportional to 1,829,708 and 3,865,404 is: 8,165,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,708 : 3,865,404 = 3,865,404 : x
  2. Step 2: Convert to fraction form
    1,829,708/3,865,404 = 3,865,404/x
  3. Step 3: Cross multiply
    1,829,708x = 3,865,404 × 3,865,404
  4. Step 4: Simplify right side
    1,829,708x = 14,941,348,083,216
  5. Step 5: Solve for x
    x = 14,941,348,083,216/1,829,708
  6. Step 6: Final answer
    x = 8,165,974.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.