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Finding the Third Proportional to 594,761,243 and 1,238,399,754

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Solution

The third proportional to 594,761,243 and 1,238,399,754 is: 2,578,570,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,761,243 : 1,238,399,754 = 1,238,399,754 : x
  2. Step 2: Convert to fraction form
    594,761,243/1,238,399,754 = 1,238,399,754/x
  3. Step 3: Cross multiply
    594,761,243x = 1,238,399,754 × 1,238,399,754
  4. Step 4: Simplify right side
    594,761,243x = 1,533,633,950,707,260,416
  5. Step 5: Solve for x
    x = 1,533,633,950,707,260,416/594,761,243
  6. Step 6: Final answer
    x = 2,578,570,760.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.