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Finding the Third Proportional to 682,724 and 983,422

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Solution

The third proportional to 682,724 and 983,422 is: 1,416,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,724 : 983,422 = 983,422 : x
  2. Step 2: Convert to fraction form
    682,724/983,422 = 983,422/x
  3. Step 3: Cross multiply
    682,724x = 983,422 × 983,422
  4. Step 4: Simplify right side
    682,724x = 967,118,830,084
  5. Step 5: Solve for x
    x = 967,118,830,084/682,724
  6. Step 6: Final answer
    x = 1,416,559.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.