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Finding the Third Proportional to 692,394.75 and 1,454,760

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Solution

The third proportional to 692,394.75 and 1,454,760 is: 3,056,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,394.75 : 1,454,760 = 1,454,760 : x
  2. Step 2: Convert to fraction form
    692,394.75/1,454,760 = 1,454,760/x
  3. Step 3: Cross multiply
    692,394.75x = 1,454,760 × 1,454,760
  4. Step 4: Simplify right side
    692,394.75x = 2,116,326,657,600
  5. Step 5: Solve for x
    x = 2,116,326,657,600/692,394.75
  6. Step 6: Final answer
    x = 3,056,531.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.