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Finding the Third Proportional to 491,618 and 1,032,676

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Solution

The third proportional to 491,618 and 1,032,676 is: 2,169,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,618 : 1,032,676 = 1,032,676 : x
  2. Step 2: Convert to fraction form
    491,618/1,032,676 = 1,032,676/x
  3. Step 3: Cross multiply
    491,618x = 1,032,676 × 1,032,676
  4. Step 4: Simplify right side
    491,618x = 1,066,419,720,976
  5. Step 5: Solve for x
    x = 1,066,419,720,976/491,618
  6. Step 6: Final answer
    x = 2,169,203.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.