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Finding the Third Proportional to 1,176,476 and 1,656,698

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Solution

The third proportional to 1,176,476 and 1,656,698 is: 2,332,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,476 : 1,656,698 = 1,656,698 : x
  2. Step 2: Convert to fraction form
    1,176,476/1,656,698 = 1,656,698/x
  3. Step 3: Cross multiply
    1,176,476x = 1,656,698 × 1,656,698
  4. Step 4: Simplify right side
    1,176,476x = 2,744,648,263,204
  5. Step 5: Solve for x
    x = 2,744,648,263,204/1,176,476
  6. Step 6: Final answer
    x = 2,332,940.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.