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Finding the Third Proportional to 719,346 and 1,575,744

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Solution

The third proportional to 719,346 and 1,575,744 is: 3,451,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,346 : 1,575,744 = 1,575,744 : x
  2. Step 2: Convert to fraction form
    719,346/1,575,744 = 1,575,744/x
  3. Step 3: Cross multiply
    719,346x = 1,575,744 × 1,575,744
  4. Step 4: Simplify right side
    719,346x = 2,482,969,153,536
  5. Step 5: Solve for x
    x = 2,482,969,153,536/719,346
  6. Step 6: Final answer
    x = 3,451,703.57

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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.