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Finding the Third Proportional to 549,642 and 1,205,556

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Solution

The third proportional to 549,642 and 1,205,556 is: 2,644,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,642 : 1,205,556 = 1,205,556 : x
  2. Step 2: Convert to fraction form
    549,642/1,205,556 = 1,205,556/x
  3. Step 3: Cross multiply
    549,642x = 1,205,556 × 1,205,556
  4. Step 4: Simplify right side
    549,642x = 1,453,365,269,136
  5. Step 5: Solve for x
    x = 1,453,365,269,136/549,642
  6. Step 6: Final answer
    x = 2,644,203.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.