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Finding the Third Proportional to 692,864 and 1,488,868

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Solution

The third proportional to 692,864 and 1,488,868 is: 3,199,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,864 : 1,488,868 = 1,488,868 : x
  2. Step 2: Convert to fraction form
    692,864/1,488,868 = 1,488,868/x
  3. Step 3: Cross multiply
    692,864x = 1,488,868 × 1,488,868
  4. Step 4: Simplify right side
    692,864x = 2,216,727,921,424
  5. Step 5: Solve for x
    x = 2,216,727,921,424/692,864
  6. Step 6: Final answer
    x = 3,199,369.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.