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Finding the Third Proportional to 785,857.50 and 1,718,833.50

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Solution

The third proportional to 785,857.50 and 1,718,833.50 is: 3,759,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,857.50 : 1,718,833.50 = 1,718,833.50 : x
  2. Step 2: Convert to fraction form
    785,857.50/1,718,833.50 = 1,718,833.50/x
  3. Step 3: Cross multiply
    785,857.50x = 1,718,833.50 × 1,718,833.50
  4. Step 4: Simplify right side
    785,857.50x = 2,954,388,600,722.25
  5. Step 5: Solve for x
    x = 2,954,388,600,722.25/785,857.50
  6. Step 6: Final answer
    x = 3,759,445.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.