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Finding the Third Proportional to 473,125 and 1,140,166

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Solution

The third proportional to 473,125 and 1,140,166 is: 2,747,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,125 : 1,140,166 = 1,140,166 : x
  2. Step 2: Convert to fraction form
    473,125/1,140,166 = 1,140,166/x
  3. Step 3: Cross multiply
    473,125x = 1,140,166 × 1,140,166
  4. Step 4: Simplify right side
    473,125x = 1,299,978,507,556
  5. Step 5: Solve for x
    x = 1,299,978,507,556/473,125
  6. Step 6: Final answer
    x = 2,747,642.82

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.