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Finding the Third Proportional to 435,699 and 940,227.75

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Solution

The third proportional to 435,699 and 940,227.75 is: 2,028,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,699 : 940,227.75 = 940,227.75 : x
  2. Step 2: Convert to fraction form
    435,699/940,227.75 = 940,227.75/x
  3. Step 3: Cross multiply
    435,699x = 940,227.75 × 940,227.75
  4. Step 4: Simplify right side
    435,699x = 884,028,221,870.06
  5. Step 5: Solve for x
    x = 884,028,221,870.06/435,699
  6. Step 6: Final answer
    x = 2,028,988.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.