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Finding the Third Proportional to 928,106 and 1,966,036

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Solution

The third proportional to 928,106 and 1,966,036 is: 4,164,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,106 : 1,966,036 = 1,966,036 : x
  2. Step 2: Convert to fraction form
    928,106/1,966,036 = 1,966,036/x
  3. Step 3: Cross multiply
    928,106x = 1,966,036 × 1,966,036
  4. Step 4: Simplify right side
    928,106x = 3,865,297,553,296
  5. Step 5: Solve for x
    x = 3,865,297,553,296/928,106
  6. Step 6: Final answer
    x = 4,164,715.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.