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Finding the Third Proportional to 465,726 and 1,018,644

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Solution

The third proportional to 465,726 and 1,018,644 is: 2,227,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,726 : 1,018,644 = 1,018,644 : x
  2. Step 2: Convert to fraction form
    465,726/1,018,644 = 1,018,644/x
  3. Step 3: Cross multiply
    465,726x = 1,018,644 × 1,018,644
  4. Step 4: Simplify right side
    465,726x = 1,037,635,598,736
  5. Step 5: Solve for x
    x = 1,037,635,598,736/465,726
  6. Step 6: Final answer
    x = 2,227,995.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.