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Finding the Third Proportional to 966,075 and 2,123,382

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Solution

The third proportional to 966,075 and 2,123,382 is: 4,667,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,075 : 2,123,382 = 2,123,382 : x
  2. Step 2: Convert to fraction form
    966,075/2,123,382 = 2,123,382/x
  3. Step 3: Cross multiply
    966,075x = 2,123,382 × 2,123,382
  4. Step 4: Simplify right side
    966,075x = 4,508,751,117,924
  5. Step 5: Solve for x
    x = 4,508,751,117,924/966,075
  6. Step 6: Final answer
    x = 4,667,081.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.