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Finding the Third Proportional to 519,635,292 and 1,076,104,032

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Solution

The third proportional to 519,635,292 and 1,076,104,032 is: 2,228,485,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,635,292 : 1,076,104,032 = 1,076,104,032 : x
  2. Step 2: Convert to fraction form
    519,635,292/1,076,104,032 = 1,076,104,032/x
  3. Step 3: Cross multiply
    519,635,292x = 1,076,104,032 × 1,076,104,032
  4. Step 4: Simplify right side
    519,635,292x = 1,157,999,887,686,657,024
  5. Step 5: Solve for x
    x = 1,157,999,887,686,657,024/519,635,292
  6. Step 6: Final answer
    x = 2,228,485,835.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.