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Finding the Third Proportional to 980,546 and 2,118,648

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Solution

The third proportional to 980,546 and 2,118,648 is: 4,577,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,546 : 2,118,648 = 2,118,648 : x
  2. Step 2: Convert to fraction form
    980,546/2,118,648 = 2,118,648/x
  3. Step 3: Cross multiply
    980,546x = 2,118,648 × 2,118,648
  4. Step 4: Simplify right side
    980,546x = 4,488,669,347,904
  5. Step 5: Solve for x
    x = 4,488,669,347,904/980,546
  6. Step 6: Final answer
    x = 4,577,724.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.