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Finding the Third Proportional to 727,791 and 1,579,281

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Solution

The third proportional to 727,791 and 1,579,281 is: 3,426,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,791 : 1,579,281 = 1,579,281 : x
  2. Step 2: Convert to fraction form
    727,791/1,579,281 = 1,579,281/x
  3. Step 3: Cross multiply
    727,791x = 1,579,281 × 1,579,281
  4. Step 4: Simplify right side
    727,791x = 2,494,128,476,961
  5. Step 5: Solve for x
    x = 2,494,128,476,961/727,791
  6. Step 6: Final answer
    x = 3,426,984.50

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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.