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Finding the Third Proportional to 945,548 and 2,042,656

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Solution

The third proportional to 945,548 and 2,042,656 is: 4,412,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,548 : 2,042,656 = 2,042,656 : x
  2. Step 2: Convert to fraction form
    945,548/2,042,656 = 2,042,656/x
  3. Step 3: Cross multiply
    945,548x = 2,042,656 × 2,042,656
  4. Step 4: Simplify right side
    945,548x = 4,172,443,534,336
  5. Step 5: Solve for x
    x = 4,172,443,534,336/945,548
  6. Step 6: Final answer
    x = 4,412,725.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.