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Finding the Third Proportional to 549,305 and 1,203,341

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Solution

The third proportional to 549,305 and 1,203,341 is: 2,636,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,305 : 1,203,341 = 1,203,341 : x
  2. Step 2: Convert to fraction form
    549,305/1,203,341 = 1,203,341/x
  3. Step 3: Cross multiply
    549,305x = 1,203,341 × 1,203,341
  4. Step 4: Simplify right side
    549,305x = 1,448,029,562,281
  5. Step 5: Solve for x
    x = 1,448,029,562,281/549,305
  6. Step 6: Final answer
    x = 2,636,112.11

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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.