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Finding the Third Proportional to 1,746,562 and 2,777,295

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Solution

The third proportional to 1,746,562 and 2,777,295 is: 4,416,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,562 : 2,777,295 = 2,777,295 : x
  2. Step 2: Convert to fraction form
    1,746,562/2,777,295 = 2,777,295/x
  3. Step 3: Cross multiply
    1,746,562x = 2,777,295 × 2,777,295
  4. Step 4: Simplify right side
    1,746,562x = 7,713,367,517,025
  5. Step 5: Solve for x
    x = 7,713,367,517,025/1,746,562
  6. Step 6: Final answer
    x = 4,416,314.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.