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Finding the Third Proportional to 1,018,635.75 and 2,158,714.13

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Solution

The third proportional to 1,018,635.75 and 2,158,714.13 is: 4,574,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,635.75 : 2,158,714.13 = 2,158,714.13 : x
  2. Step 2: Convert to fraction form
    1,018,635.75/2,158,714.13 = 2,158,714.13/x
  3. Step 3: Cross multiply
    1,018,635.75x = 2,158,714.13 × 2,158,714.13
  4. Step 4: Simplify right side
    1,018,635.75x = 4,660,046,673,474.52
  5. Step 5: Solve for x
    x = 4,660,046,673,474.52/1,018,635.75
  6. Step 6: Final answer
    x = 4,574,791.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.