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Finding the Third Proportional to 2,045,941 and 3,097,342

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Solution

The third proportional to 2,045,941 and 3,097,342 is: 4,689,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,941 : 3,097,342 = 3,097,342 : x
  2. Step 2: Convert to fraction form
    2,045,941/3,097,342 = 3,097,342/x
  3. Step 3: Cross multiply
    2,045,941x = 3,097,342 × 3,097,342
  4. Step 4: Simplify right side
    2,045,941x = 9,593,527,464,964
  5. Step 5: Solve for x
    x = 9,593,527,464,964/2,045,941
  6. Step 6: Final answer
    x = 4,689,053.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.