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Finding the Third Proportional to 596,920 and 925,647

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Solution

The third proportional to 596,920 and 925,647 is: 1,435,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,920 : 925,647 = 925,647 : x
  2. Step 2: Convert to fraction form
    596,920/925,647 = 925,647/x
  3. Step 3: Cross multiply
    596,920x = 925,647 × 925,647
  4. Step 4: Simplify right side
    596,920x = 856,822,368,609
  5. Step 5: Solve for x
    x = 856,822,368,609/596,920
  6. Step 6: Final answer
    x = 1,435,405.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.