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Finding the Third Proportional to 655,066 and 1,425,462

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Solution

The third proportional to 655,066 and 1,425,462 is: 3,101,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,066 : 1,425,462 = 1,425,462 : x
  2. Step 2: Convert to fraction form
    655,066/1,425,462 = 1,425,462/x
  3. Step 3: Cross multiply
    655,066x = 1,425,462 × 1,425,462
  4. Step 4: Simplify right side
    655,066x = 2,031,941,913,444
  5. Step 5: Solve for x
    x = 2,031,941,913,444/655,066
  6. Step 6: Final answer
    x = 3,101,888.84

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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.