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Finding the Third Proportional to 891,193.50 and 1,924,429.50

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Solution

The third proportional to 891,193.50 and 1,924,429.50 is: 4,155,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,193.50 : 1,924,429.50 = 1,924,429.50 : x
  2. Step 2: Convert to fraction form
    891,193.50/1,924,429.50 = 1,924,429.50/x
  3. Step 3: Cross multiply
    891,193.50x = 1,924,429.50 × 1,924,429.50
  4. Step 4: Simplify right side
    891,193.50x = 3,703,428,900,470.25
  5. Step 5: Solve for x
    x = 3,703,428,900,470.25/891,193.50
  6. Step 6: Final answer
    x = 4,155,583.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.