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Finding the Third Proportional to 1,746,468 and 3,800,472

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Solution

The third proportional to 1,746,468 and 3,800,472 is: 8,270,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,468 : 3,800,472 = 3,800,472 : x
  2. Step 2: Convert to fraction form
    1,746,468/3,800,472 = 3,800,472/x
  3. Step 3: Cross multiply
    1,746,468x = 3,800,472 × 3,800,472
  4. Step 4: Simplify right side
    1,746,468x = 14,443,587,422,784
  5. Step 5: Solve for x
    x = 14,443,587,422,784/1,746,468
  6. Step 6: Final answer
    x = 8,270,170.09

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