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Finding the Third Proportional to 728,578,161.49 and 1,119,185,173.41

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Solution

The third proportional to 728,578,161.49 and 1,119,185,173.41 is: 1,719,205,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,578,161.49 : 1,119,185,173.41 = 1,119,185,173.41 : x
  2. Step 2: Convert to fraction form
    728,578,161.49/1,119,185,173.41 = 1,119,185,173.41/x
  3. Step 3: Cross multiply
    728,578,161.49x = 1,119,185,173.41 × 1,119,185,173.41
  4. Step 4: Simplify right side
    728,578,161.49x = 1,252,575,452,372,265,728
  5. Step 5: Solve for x
    x = 1,252,575,452,372,265,728/728,578,161.49
  6. Step 6: Final answer
    x = 1,719,205,321.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.