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Finding the Third Proportional to 409,606.88 and 891,111.38

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Solution

The third proportional to 409,606.88 and 891,111.38 is: 1,938,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,606.88 : 891,111.38 = 891,111.38 : x
  2. Step 2: Convert to fraction form
    409,606.88/891,111.38 = 891,111.38/x
  3. Step 3: Cross multiply
    409,606.88x = 891,111.38 × 891,111.38
  4. Step 4: Simplify right side
    409,606.88x = 794,079,482,654.39
  5. Step 5: Solve for x
    x = 794,079,482,654.39/409,606.88
  6. Step 6: Final answer
    x = 1,938,638.07

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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.