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Finding the Third Proportional to 788,972 and 1,725,256

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Solution

The third proportional to 788,972 and 1,725,256 is: 3,772,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,972 : 1,725,256 = 1,725,256 : x
  2. Step 2: Convert to fraction form
    788,972/1,725,256 = 1,725,256/x
  3. Step 3: Cross multiply
    788,972x = 1,725,256 × 1,725,256
  4. Step 4: Simplify right side
    788,972x = 2,976,508,265,536
  5. Step 5: Solve for x
    x = 2,976,508,265,536/788,972
  6. Step 6: Final answer
    x = 3,772,641.19

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.