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Finding the Third Proportional to 490,578,710 and 754,053,273

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Solution

The third proportional to 490,578,710 and 754,053,273 is: 1,159,031,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,578,710 : 754,053,273 = 754,053,273 : x
  2. Step 2: Convert to fraction form
    490,578,710/754,053,273 = 754,053,273/x
  3. Step 3: Cross multiply
    490,578,710x = 754,053,273 × 754,053,273
  4. Step 4: Simplify right side
    490,578,710x = 568,596,338,522,012,544
  5. Step 5: Solve for x
    x = 568,596,338,522,012,544/490,578,710
  6. Step 6: Final answer
    x = 1,159,031,826.97

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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.