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Finding the Third Proportional to 675,429 and 1,462,942

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Solution

The third proportional to 675,429 and 1,462,942 is: 3,168,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,429 : 1,462,942 = 1,462,942 : x
  2. Step 2: Convert to fraction form
    675,429/1,462,942 = 1,462,942/x
  3. Step 3: Cross multiply
    675,429x = 1,462,942 × 1,462,942
  4. Step 4: Simplify right side
    675,429x = 2,140,199,295,364
  5. Step 5: Solve for x
    x = 2,140,199,295,364/675,429
  6. Step 6: Final answer
    x = 3,168,651.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.