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Finding the Third Proportional to 542,430 and 1,181,295

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Solution

The third proportional to 542,430 and 1,181,295 is: 2,572,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,430 : 1,181,295 = 1,181,295 : x
  2. Step 2: Convert to fraction form
    542,430/1,181,295 = 1,181,295/x
  3. Step 3: Cross multiply
    542,430x = 1,181,295 × 1,181,295
  4. Step 4: Simplify right side
    542,430x = 1,395,457,877,025
  5. Step 5: Solve for x
    x = 1,395,457,877,025/542,430
  6. Step 6: Final answer
    x = 2,572,604.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.