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Finding the Third Proportional to 788,970 and 1,725,252

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Solution

The third proportional to 788,970 and 1,725,252 is: 3,772,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,970 : 1,725,252 = 1,725,252 : x
  2. Step 2: Convert to fraction form
    788,970/1,725,252 = 1,725,252/x
  3. Step 3: Cross multiply
    788,970x = 1,725,252 × 1,725,252
  4. Step 4: Simplify right side
    788,970x = 2,976,494,463,504
  5. Step 5: Solve for x
    x = 2,976,494,463,504/788,970
  6. Step 6: Final answer
    x = 3,772,633.26

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Why These Related Problems?

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