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Finding the Third Proportional to 727,180 and 1,698,392

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Solution

The third proportional to 727,180 and 1,698,392 is: 3,966,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,180 : 1,698,392 = 1,698,392 : x
  2. Step 2: Convert to fraction form
    727,180/1,698,392 = 1,698,392/x
  3. Step 3: Cross multiply
    727,180x = 1,698,392 × 1,698,392
  4. Step 4: Simplify right side
    727,180x = 2,884,535,385,664
  5. Step 5: Solve for x
    x = 2,884,535,385,664/727,180
  6. Step 6: Final answer
    x = 3,966,741.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.