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Finding the Third Proportional to 966,529.13 and 1,908,667.13

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Solution

The third proportional to 966,529.13 and 1,908,667.13 is: 3,769,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,529.13 : 1,908,667.13 = 1,908,667.13 : x
  2. Step 2: Convert to fraction form
    966,529.13/1,908,667.13 = 1,908,667.13/x
  3. Step 3: Cross multiply
    966,529.13x = 1,908,667.13 × 1,908,667.13
  4. Step 4: Simplify right side
    966,529.13x = 3,643,010,194,055.77
  5. Step 5: Solve for x
    x = 3,643,010,194,055.77/966,529.13
  6. Step 6: Final answer
    x = 3,769,167.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.