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Finding the Third Proportional to 702,767 and 1,540,966

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Solution

The third proportional to 702,767 and 1,540,966 is: 3,378,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,767 : 1,540,966 = 1,540,966 : x
  2. Step 2: Convert to fraction form
    702,767/1,540,966 = 1,540,966/x
  3. Step 3: Cross multiply
    702,767x = 1,540,966 × 1,540,966
  4. Step 4: Simplify right side
    702,767x = 2,374,576,213,156
  5. Step 5: Solve for x
    x = 2,374,576,213,156/702,767
  6. Step 6: Final answer
    x = 3,378,895.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.