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Finding the Third Proportional to 501,835,842 and 1,087,076,020

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Solution

The third proportional to 501,835,842 and 1,087,076,020 is: 2,354,822,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,835,842 : 1,087,076,020 = 1,087,076,020 : x
  2. Step 2: Convert to fraction form
    501,835,842/1,087,076,020 = 1,087,076,020/x
  3. Step 3: Cross multiply
    501,835,842x = 1,087,076,020 × 1,087,076,020
  4. Step 4: Simplify right side
    501,835,842x = 1,181,734,273,259,040,512
  5. Step 5: Solve for x
    x = 1,181,734,273,259,040,512/501,835,842
  6. Step 6: Final answer
    x = 2,354,822,382.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.