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Finding the Third Proportional to 524,095,656.75 and 822,080,269.13

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Solution

The third proportional to 524,095,656.75 and 822,080,269.13 is: 1,289,489,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,095,656.75 : 822,080,269.13 = 822,080,269.13 : x
  2. Step 2: Convert to fraction form
    524,095,656.75/822,080,269.13 = 822,080,269.13/x
  3. Step 3: Cross multiply
    524,095,656.75x = 822,080,269.13 × 822,080,269.13
  4. Step 4: Simplify right side
    524,095,656.75x = 675,815,968,884,632,448
  5. Step 5: Solve for x
    x = 675,815,968,884,632,448/524,095,656.75
  6. Step 6: Final answer
    x = 1,289,489,733.75

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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.