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Finding the Third Proportional to 646,272 and 1,380,516

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Solution

The third proportional to 646,272 and 1,380,516 is: 2,948,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,272 : 1,380,516 = 1,380,516 : x
  2. Step 2: Convert to fraction form
    646,272/1,380,516 = 1,380,516/x
  3. Step 3: Cross multiply
    646,272x = 1,380,516 × 1,380,516
  4. Step 4: Simplify right side
    646,272x = 1,905,824,426,256
  5. Step 5: Solve for x
    x = 1,905,824,426,256/646,272
  6. Step 6: Final answer
    x = 2,948,950.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.