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Finding the Third Proportional to 1,746,436 and 3,758,462

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Solution

The third proportional to 1,746,436 and 3,758,462 is: 8,088,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,436 : 3,758,462 = 3,758,462 : x
  2. Step 2: Convert to fraction form
    1,746,436/3,758,462 = 3,758,462/x
  3. Step 3: Cross multiply
    1,746,436x = 3,758,462 × 3,758,462
  4. Step 4: Simplify right side
    1,746,436x = 14,126,036,605,444
  5. Step 5: Solve for x
    x = 14,126,036,605,444/1,746,436
  6. Step 6: Final answer
    x = 8,088,493.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.