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Finding the Third Proportional to 652,012.50 and 1,400,435.25

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Solution

The third proportional to 652,012.50 and 1,400,435.25 is: 3,007,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,012.50 : 1,400,435.25 = 1,400,435.25 : x
  2. Step 2: Convert to fraction form
    652,012.50/1,400,435.25 = 1,400,435.25/x
  3. Step 3: Cross multiply
    652,012.50x = 1,400,435.25 × 1,400,435.25
  4. Step 4: Simplify right side
    652,012.50x = 1,961,218,889,442.56
  5. Step 5: Solve for x
    x = 1,961,218,889,442.56/652,012.50
  6. Step 6: Final answer
    x = 3,007,946.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.