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Finding the Third Proportional to 612,288 and 1,329,660

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Solution

The third proportional to 612,288 and 1,329,660 is: 2,887,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,288 : 1,329,660 = 1,329,660 : x
  2. Step 2: Convert to fraction form
    612,288/1,329,660 = 1,329,660/x
  3. Step 3: Cross multiply
    612,288x = 1,329,660 × 1,329,660
  4. Step 4: Simplify right side
    612,288x = 1,767,995,715,600
  5. Step 5: Solve for x
    x = 1,767,995,715,600/612,288
  6. Step 6: Final answer
    x = 2,887,523.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.