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Finding the Third Proportional to 906,356 and 1,270,546

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Solution

The third proportional to 906,356 and 1,270,546 is: 1,781,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,356 : 1,270,546 = 1,270,546 : x
  2. Step 2: Convert to fraction form
    906,356/1,270,546 = 1,270,546/x
  3. Step 3: Cross multiply
    906,356x = 1,270,546 × 1,270,546
  4. Step 4: Simplify right side
    906,356x = 1,614,287,138,116
  5. Step 5: Solve for x
    x = 1,614,287,138,116/906,356
  6. Step 6: Final answer
    x = 1,781,074.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.