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Finding the Third Proportional to 427,581 and 929,085.75

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Solution

The third proportional to 427,581 and 929,085.75 is: 2,018,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,581 : 929,085.75 = 929,085.75 : x
  2. Step 2: Convert to fraction form
    427,581/929,085.75 = 929,085.75/x
  3. Step 3: Cross multiply
    427,581x = 929,085.75 × 929,085.75
  4. Step 4: Simplify right side
    427,581x = 863,200,330,853.06
  5. Step 5: Solve for x
    x = 863,200,330,853.06/427,581
  6. Step 6: Final answer
    x = 2,018,799.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.