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Finding the Third Proportional to 729,345 and 1,575,330

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Solution

The third proportional to 729,345 and 1,575,330 is: 3,402,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,345 : 1,575,330 = 1,575,330 : x
  2. Step 2: Convert to fraction form
    729,345/1,575,330 = 1,575,330/x
  3. Step 3: Cross multiply
    729,345x = 1,575,330 × 1,575,330
  4. Step 4: Simplify right side
    729,345x = 2,481,664,608,900
  5. Step 5: Solve for x
    x = 2,481,664,608,900/729,345
  6. Step 6: Final answer
    x = 3,402,593.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.