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Finding the Third Proportional to 549,456 and 1,141,005

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Solution

The third proportional to 549,456 and 1,141,005 is: 2,369,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,456 : 1,141,005 = 1,141,005 : x
  2. Step 2: Convert to fraction form
    549,456/1,141,005 = 1,141,005/x
  3. Step 3: Cross multiply
    549,456x = 1,141,005 × 1,141,005
  4. Step 4: Simplify right side
    549,456x = 1,301,892,410,025
  5. Step 5: Solve for x
    x = 1,301,892,410,025/549,456
  6. Step 6: Final answer
    x = 2,369,420.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.