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Finding the Third Proportional to 668,047 and 1,575,407

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Solution

The third proportional to 668,047 and 1,575,407 is: 3,715,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,047 : 1,575,407 = 1,575,407 : x
  2. Step 2: Convert to fraction form
    668,047/1,575,407 = 1,575,407/x
  3. Step 3: Cross multiply
    668,047x = 1,575,407 × 1,575,407
  4. Step 4: Simplify right side
    668,047x = 2,481,907,215,649
  5. Step 5: Solve for x
    x = 2,481,907,215,649/668,047
  6. Step 6: Final answer
    x = 3,715,168.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.