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Finding the Third Proportional to 934,536 and 1,464,096

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Solution

The third proportional to 934,536 and 1,464,096 is: 2,293,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,536 : 1,464,096 = 1,464,096 : x
  2. Step 2: Convert to fraction form
    934,536/1,464,096 = 1,464,096/x
  3. Step 3: Cross multiply
    934,536x = 1,464,096 × 1,464,096
  4. Step 4: Simplify right side
    934,536x = 2,143,577,097,216
  5. Step 5: Solve for x
    x = 2,143,577,097,216/934,536
  6. Step 6: Final answer
    x = 2,293,734.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.