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Finding the Third Proportional to 770,490 and 1,655,676

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Solution

The third proportional to 770,490 and 1,655,676 is: 3,557,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,490 : 1,655,676 = 1,655,676 : x
  2. Step 2: Convert to fraction form
    770,490/1,655,676 = 1,655,676/x
  3. Step 3: Cross multiply
    770,490x = 1,655,676 × 1,655,676
  4. Step 4: Simplify right side
    770,490x = 2,741,263,016,976
  5. Step 5: Solve for x
    x = 2,741,263,016,976/770,490
  6. Step 6: Final answer
    x = 3,557,817.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.