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Finding the Third Proportional to 844,824 and 1,749,528

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Solution

The third proportional to 844,824 and 1,749,528 is: 3,623,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,824 : 1,749,528 = 1,749,528 : x
  2. Step 2: Convert to fraction form
    844,824/1,749,528 = 1,749,528/x
  3. Step 3: Cross multiply
    844,824x = 1,749,528 × 1,749,528
  4. Step 4: Simplify right side
    844,824x = 3,060,848,222,784
  5. Step 5: Solve for x
    x = 3,060,848,222,784/844,824
  6. Step 6: Final answer
    x = 3,623,060.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.