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Finding the Third Proportional to 719,900 and 1,575,376

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Solution

The third proportional to 719,900 and 1,575,376 is: 3,447,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,900 : 1,575,376 = 1,575,376 : x
  2. Step 2: Convert to fraction form
    719,900/1,575,376 = 1,575,376/x
  3. Step 3: Cross multiply
    719,900x = 1,575,376 × 1,575,376
  4. Step 4: Simplify right side
    719,900x = 2,481,809,541,376
  5. Step 5: Solve for x
    x = 2,481,809,541,376/719,900
  6. Step 6: Final answer
    x = 3,447,436.51

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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.