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Finding the Third Proportional to 497,599 and 1,066,189

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Solution

The third proportional to 497,599 and 1,066,189 is: 2,284,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,599 : 1,066,189 = 1,066,189 : x
  2. Step 2: Convert to fraction form
    497,599/1,066,189 = 1,066,189/x
  3. Step 3: Cross multiply
    497,599x = 1,066,189 × 1,066,189
  4. Step 4: Simplify right side
    497,599x = 1,136,758,983,721
  5. Step 5: Solve for x
    x = 1,136,758,983,721/497,599
  6. Step 6: Final answer
    x = 2,284,488.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.