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Finding the Third Proportional to 490,578,980.63 and 754,053,872.06

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Solution

The third proportional to 490,578,980.63 and 754,053,872.06 is: 1,159,033,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,578,980.63 : 754,053,872.06 = 754,053,872.06 : x
  2. Step 2: Convert to fraction form
    490,578,980.63/754,053,872.06 = 754,053,872.06/x
  3. Step 3: Cross multiply
    490,578,980.63x = 754,053,872.06 × 754,053,872.06
  4. Step 4: Simplify right side
    490,578,980.63x = 568,597,241,972,449,088
  5. Step 5: Solve for x
    x = 568,597,241,972,449,088/490,578,980.63
  6. Step 6: Final answer
    x = 1,159,033,029.19

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