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Finding the Third Proportional to 566,608 and 1,237,760

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Solution

The third proportional to 566,608 and 1,237,760 is: 2,703,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,608 : 1,237,760 = 1,237,760 : x
  2. Step 2: Convert to fraction form
    566,608/1,237,760 = 1,237,760/x
  3. Step 3: Cross multiply
    566,608x = 1,237,760 × 1,237,760
  4. Step 4: Simplify right side
    566,608x = 1,532,049,817,600
  5. Step 5: Solve for x
    x = 1,532,049,817,600/566,608
  6. Step 6: Final answer
    x = 2,703,897.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.