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Finding the Third Proportional to 458,782 and 983,982

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Solution

The third proportional to 458,782 and 983,982 is: 2,110,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,782 : 983,982 = 983,982 : x
  2. Step 2: Convert to fraction form
    458,782/983,982 = 983,982/x
  3. Step 3: Cross multiply
    458,782x = 983,982 × 983,982
  4. Step 4: Simplify right side
    458,782x = 968,220,576,324
  5. Step 5: Solve for x
    x = 968,220,576,324/458,782
  6. Step 6: Final answer
    x = 2,110,415.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.