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Finding the Third Proportional to 988,256 and 2,154,944

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Solution

The third proportional to 988,256 and 2,154,944 is: 4,698,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,256 : 2,154,944 = 2,154,944 : x
  2. Step 2: Convert to fraction form
    988,256/2,154,944 = 2,154,944/x
  3. Step 3: Cross multiply
    988,256x = 2,154,944 × 2,154,944
  4. Step 4: Simplify right side
    988,256x = 4,643,783,643,136
  5. Step 5: Solve for x
    x = 4,643,783,643,136/988,256
  6. Step 6: Final answer
    x = 4,698,968.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.