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Finding the Third Proportional to 847,296 and 1,245,000

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Solution

The third proportional to 847,296 and 1,245,000 is: 1,829,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,296 : 1,245,000 = 1,245,000 : x
  2. Step 2: Convert to fraction form
    847,296/1,245,000 = 1,245,000/x
  3. Step 3: Cross multiply
    847,296x = 1,245,000 × 1,245,000
  4. Step 4: Simplify right side
    847,296x = 1,550,025,000,000
  5. Step 5: Solve for x
    x = 1,550,025,000,000/847,296
  6. Step 6: Final answer
    x = 1,829,378.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.