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Finding the Third Proportional to 595,746 and 1,296,324

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Solution

The third proportional to 595,746 and 1,296,324 is: 2,820,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,746 : 1,296,324 = 1,296,324 : x
  2. Step 2: Convert to fraction form
    595,746/1,296,324 = 1,296,324/x
  3. Step 3: Cross multiply
    595,746x = 1,296,324 × 1,296,324
  4. Step 4: Simplify right side
    595,746x = 1,680,455,912,976
  5. Step 5: Solve for x
    x = 1,680,455,912,976/595,746
  6. Step 6: Final answer
    x = 2,820,759.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.