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Finding the Third Proportional to 655,047 and 1,415,275

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Solution

The third proportional to 655,047 and 1,415,275 is: 3,057,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,047 : 1,415,275 = 1,415,275 : x
  2. Step 2: Convert to fraction form
    655,047/1,415,275 = 1,415,275/x
  3. Step 3: Cross multiply
    655,047x = 1,415,275 × 1,415,275
  4. Step 4: Simplify right side
    655,047x = 2,003,003,325,625
  5. Step 5: Solve for x
    x = 2,003,003,325,625/655,047
  6. Step 6: Final answer
    x = 3,057,800.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.