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Finding the Third Proportional to 524,095,660 and 822,080,273.50

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Solution

The third proportional to 524,095,660 and 822,080,273.50 is: 1,289,489,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,095,660 : 822,080,273.50 = 822,080,273.50 : x
  2. Step 2: Convert to fraction form
    524,095,660/822,080,273.50 = 822,080,273.50/x
  3. Step 3: Cross multiply
    524,095,660x = 822,080,273.50 × 822,080,273.50
  4. Step 4: Simplify right side
    524,095,660x = 675,815,976,077,834,752
  5. Step 5: Solve for x
    x = 675,815,976,077,834,752/524,095,660
  6. Step 6: Final answer
    x = 1,289,489,739.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.