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Finding the Third Proportional to 549,042 and 1,185,564

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Solution

The third proportional to 549,042 and 1,185,564 is: 2,560,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,042 : 1,185,564 = 1,185,564 : x
  2. Step 2: Convert to fraction form
    549,042/1,185,564 = 1,185,564/x
  3. Step 3: Cross multiply
    549,042x = 1,185,564 × 1,185,564
  4. Step 4: Simplify right side
    549,042x = 1,405,561,998,096
  5. Step 5: Solve for x
    x = 1,405,561,998,096/549,042
  6. Step 6: Final answer
    x = 2,560,026.37

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