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Finding the Third Proportional to 691,944 and 1,490,592

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Solution

The third proportional to 691,944 and 1,490,592 is: 3,211,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,944 : 1,490,592 = 1,490,592 : x
  2. Step 2: Convert to fraction form
    691,944/1,490,592 = 1,490,592/x
  3. Step 3: Cross multiply
    691,944x = 1,490,592 × 1,490,592
  4. Step 4: Simplify right side
    691,944x = 2,221,864,510,464
  5. Step 5: Solve for x
    x = 2,221,864,510,464/691,944
  6. Step 6: Final answer
    x = 3,211,046.72

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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.