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Finding the Third Proportional to 688,179 and 1,619,338.50

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Solution

The third proportional to 688,179 and 1,619,338.50 is: 3,810,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,179 : 1,619,338.50 = 1,619,338.50 : x
  2. Step 2: Convert to fraction form
    688,179/1,619,338.50 = 1,619,338.50/x
  3. Step 3: Cross multiply
    688,179x = 1,619,338.50 × 1,619,338.50
  4. Step 4: Simplify right side
    688,179x = 2,622,257,177,582.25
  5. Step 5: Solve for x
    x = 2,622,257,177,582.25/688,179
  6. Step 6: Final answer
    x = 3,810,428.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.