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Finding the Third Proportional to 595,632 and 1,296,216

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Solution

The third proportional to 595,632 and 1,296,216 is: 2,820,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,632 : 1,296,216 = 1,296,216 : x
  2. Step 2: Convert to fraction form
    595,632/1,296,216 = 1,296,216/x
  3. Step 3: Cross multiply
    595,632x = 1,296,216 × 1,296,216
  4. Step 4: Simplify right side
    595,632x = 1,680,175,918,656
  5. Step 5: Solve for x
    x = 1,680,175,918,656/595,632
  6. Step 6: Final answer
    x = 2,820,828.83

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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.