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Finding the Third Proportional to 448,828 and 982,114

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Solution

The third proportional to 448,828 and 982,114 is: 2,149,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,828 : 982,114 = 982,114 : x
  2. Step 2: Convert to fraction form
    448,828/982,114 = 982,114/x
  3. Step 3: Cross multiply
    448,828x = 982,114 × 982,114
  4. Step 4: Simplify right side
    448,828x = 964,547,908,996
  5. Step 5: Solve for x
    x = 964,547,908,996/448,828
  6. Step 6: Final answer
    x = 2,149,036.84

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Why These Related Problems?

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