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Finding the Third Proportional to 511,696,022 and 729,270,560

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Solution

The third proportional to 511,696,022 and 729,270,560 is: 1,039,358,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,696,022 : 729,270,560 = 729,270,560 : x
  2. Step 2: Convert to fraction form
    511,696,022/729,270,560 = 729,270,560/x
  3. Step 3: Cross multiply
    511,696,022x = 729,270,560 × 729,270,560
  4. Step 4: Simplify right side
    511,696,022x = 531,835,549,682,713,600
  5. Step 5: Solve for x
    x = 531,835,549,682,713,600/511,696,022
  6. Step 6: Final answer
    x = 1,039,358,382.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.