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Finding the Third Proportional to 769,095 and 1,676,580

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Solution

The third proportional to 769,095 and 1,676,580 is: 3,654,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,095 : 1,676,580 = 1,676,580 : x
  2. Step 2: Convert to fraction form
    769,095/1,676,580 = 1,676,580/x
  3. Step 3: Cross multiply
    769,095x = 1,676,580 × 1,676,580
  4. Step 4: Simplify right side
    769,095x = 2,810,920,496,400
  5. Step 5: Solve for x
    x = 2,810,920,496,400/769,095
  6. Step 6: Final answer
    x = 3,654,841.72

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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.