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Finding the Third Proportional to 432,837.75 and 939,602.06

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Solution

The third proportional to 432,837.75 and 939,602.06 is: 2,039,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,837.75 : 939,602.06 = 939,602.06 : x
  2. Step 2: Convert to fraction form
    432,837.75/939,602.06 = 939,602.06/x
  3. Step 3: Cross multiply
    432,837.75x = 939,602.06 × 939,602.06
  4. Step 4: Simplify right side
    432,837.75x = 882,852,035,854.25
  5. Step 5: Solve for x
    x = 882,852,035,854.25/432,837.75
  6. Step 6: Final answer
    x = 2,039,683.54

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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.