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Finding the Third Proportional to 767,931 and 1,675,611

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Solution

The third proportional to 767,931 and 1,675,611 is: 3,656,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,931 : 1,675,611 = 1,675,611 : x
  2. Step 2: Convert to fraction form
    767,931/1,675,611 = 1,675,611/x
  3. Step 3: Cross multiply
    767,931x = 1,675,611 × 1,675,611
  4. Step 4: Simplify right side
    767,931x = 2,807,672,223,321
  5. Step 5: Solve for x
    x = 2,807,672,223,321/767,931
  6. Step 6: Final answer
    x = 3,656,151.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.