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Finding the Third Proportional to 719,844 and 1,575,282

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Solution

The third proportional to 719,844 and 1,575,282 is: 3,447,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,844 : 1,575,282 = 1,575,282 : x
  2. Step 2: Convert to fraction form
    719,844/1,575,282 = 1,575,282/x
  3. Step 3: Cross multiply
    719,844x = 1,575,282 × 1,575,282
  4. Step 4: Simplify right side
    719,844x = 2,481,513,379,524
  5. Step 5: Solve for x
    x = 2,481,513,379,524/719,844
  6. Step 6: Final answer
    x = 3,447,293.27

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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.