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Finding the Third Proportional to 782,554 and 1,048,200

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Solution

The third proportional to 782,554 and 1,048,200 is: 1,404,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,554 : 1,048,200 = 1,048,200 : x
  2. Step 2: Convert to fraction form
    782,554/1,048,200 = 1,048,200/x
  3. Step 3: Cross multiply
    782,554x = 1,048,200 × 1,048,200
  4. Step 4: Simplify right side
    782,554x = 1,098,723,240,000
  5. Step 5: Solve for x
    x = 1,098,723,240,000/782,554
  6. Step 6: Final answer
    x = 1,404,022.27

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.