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Finding the Third Proportional to 560,660 and 1,194,721

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Solution

The third proportional to 560,660 and 1,194,721 is: 2,545,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,660 : 1,194,721 = 1,194,721 : x
  2. Step 2: Convert to fraction form
    560,660/1,194,721 = 1,194,721/x
  3. Step 3: Cross multiply
    560,660x = 1,194,721 × 1,194,721
  4. Step 4: Simplify right side
    560,660x = 1,427,358,267,841
  5. Step 5: Solve for x
    x = 1,427,358,267,841/560,660
  6. Step 6: Final answer
    x = 2,545,853.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.