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Finding the Third Proportional to 652,069.50 and 1,382,643

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Solution

The third proportional to 652,069.50 and 1,382,643 is: 2,931,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,069.50 : 1,382,643 = 1,382,643 : x
  2. Step 2: Convert to fraction form
    652,069.50/1,382,643 = 1,382,643/x
  3. Step 3: Cross multiply
    652,069.50x = 1,382,643 × 1,382,643
  4. Step 4: Simplify right side
    652,069.50x = 1,911,701,665,449
  5. Step 5: Solve for x
    x = 1,911,701,665,449/652,069.50
  6. Step 6: Final answer
    x = 2,931,745.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.