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Finding the Third Proportional to 546,231,120 and 798,608,994

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Solution

The third proportional to 546,231,120 and 798,608,994 is: 1,167,594,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,231,120 : 798,608,994 = 798,608,994 : x
  2. Step 2: Convert to fraction form
    546,231,120/798,608,994 = 798,608,994/x
  3. Step 3: Cross multiply
    546,231,120x = 798,608,994 × 798,608,994
  4. Step 4: Simplify right side
    546,231,120x = 637,776,325,297,692,032
  5. Step 5: Solve for x
    x = 637,776,325,297,692,032/546,231,120
  6. Step 6: Final answer
    x = 1,167,594,269.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.