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Finding the Third Proportional to 784,500 and 1,663,200

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Solution

The third proportional to 784,500 and 1,663,200 is: 3,526,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,500 : 1,663,200 = 1,663,200 : x
  2. Step 2: Convert to fraction form
    784,500/1,663,200 = 1,663,200/x
  3. Step 3: Cross multiply
    784,500x = 1,663,200 × 1,663,200
  4. Step 4: Simplify right side
    784,500x = 2,766,234,240,000
  5. Step 5: Solve for x
    x = 2,766,234,240,000/784,500
  6. Step 6: Final answer
    x = 3,526,111.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.