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Finding the Third Proportional to 655,040 and 1,420,672

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Solution

The third proportional to 655,040 and 1,420,672 is: 3,081,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,040 : 1,420,672 = 1,420,672 : x
  2. Step 2: Convert to fraction form
    655,040/1,420,672 = 1,420,672/x
  3. Step 3: Cross multiply
    655,040x = 1,420,672 × 1,420,672
  4. Step 4: Simplify right side
    655,040x = 2,018,308,931,584
  5. Step 5: Solve for x
    x = 2,018,308,931,584/655,040
  6. Step 6: Final answer
    x = 3,081,199.52

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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.