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Finding the Third Proportional to 652,056 and 1,382,616

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Solution

The third proportional to 652,056 and 1,382,616 is: 2,931,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,056 : 1,382,616 = 1,382,616 : x
  2. Step 2: Convert to fraction form
    652,056/1,382,616 = 1,382,616/x
  3. Step 3: Cross multiply
    652,056x = 1,382,616 × 1,382,616
  4. Step 4: Simplify right side
    652,056x = 1,911,627,003,456
  5. Step 5: Solve for x
    x = 1,911,627,003,456/652,056
  6. Step 6: Final answer
    x = 2,931,691.46

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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.