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Finding the Third Proportional to 1,262,852 and 2,705,416

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Solution

The third proportional to 1,262,852 and 2,705,416 is: 5,795,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,852 : 2,705,416 = 2,705,416 : x
  2. Step 2: Convert to fraction form
    1,262,852/2,705,416 = 2,705,416/x
  3. Step 3: Cross multiply
    1,262,852x = 2,705,416 × 2,705,416
  4. Step 4: Simplify right side
    1,262,852x = 7,319,275,733,056
  5. Step 5: Solve for x
    x = 7,319,275,733,056/1,262,852
  6. Step 6: Final answer
    x = 5,795,830.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.