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Finding the Third Proportional to 549,216 and 1,283,120

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Solution

The third proportional to 549,216 and 1,283,120 is: 2,997,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,216 : 1,283,120 = 1,283,120 : x
  2. Step 2: Convert to fraction form
    549,216/1,283,120 = 1,283,120/x
  3. Step 3: Cross multiply
    549,216x = 1,283,120 × 1,283,120
  4. Step 4: Simplify right side
    549,216x = 1,646,396,934,400
  5. Step 5: Solve for x
    x = 1,646,396,934,400/549,216
  6. Step 6: Final answer
    x = 2,997,722.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.