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Finding the Third Proportional to 549,497 and 1,171,576

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Solution

The third proportional to 549,497 and 1,171,576 is: 2,497,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,497 : 1,171,576 = 1,171,576 : x
  2. Step 2: Convert to fraction form
    549,497/1,171,576 = 1,171,576/x
  3. Step 3: Cross multiply
    549,497x = 1,171,576 × 1,171,576
  4. Step 4: Simplify right side
    549,497x = 1,372,590,323,776
  5. Step 5: Solve for x
    x = 1,372,590,323,776/549,497
  6. Step 6: Final answer
    x = 2,497,903.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.