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Finding the Third Proportional to 502,810,256.25 and 1,082,465,577

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Solution

The third proportional to 502,810,256.25 and 1,082,465,577 is: 2,330,365,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,810,256.25 : 1,082,465,577 = 1,082,465,577 : x
  2. Step 2: Convert to fraction form
    502,810,256.25/1,082,465,577 = 1,082,465,577/x
  3. Step 3: Cross multiply
    502,810,256.25x = 1,082,465,577 × 1,082,465,577
  4. Step 4: Simplify right side
    502,810,256.25x = 1,171,731,725,389,943,040
  5. Step 5: Solve for x
    x = 1,171,731,725,389,943,040/502,810,256.25
  6. Step 6: Final answer
    x = 2,330,365,601.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.