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Finding the Third Proportional to 765,834.75 and 1,665,967.50

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Solution

The third proportional to 765,834.75 and 1,665,967.50 is: 3,624,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,834.75 : 1,665,967.50 = 1,665,967.50 : x
  2. Step 2: Convert to fraction form
    765,834.75/1,665,967.50 = 1,665,967.50/x
  3. Step 3: Cross multiply
    765,834.75x = 1,665,967.50 × 1,665,967.50
  4. Step 4: Simplify right side
    765,834.75x = 2,775,447,711,056.25
  5. Step 5: Solve for x
    x = 2,775,447,711,056.25/765,834.75
  6. Step 6: Final answer
    x = 3,624,081.71

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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.