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Finding the Third Proportional to 502,810,263 and 1,082,465,590

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Solution

The third proportional to 502,810,263 and 1,082,465,590 is: 2,330,365,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,810,263 : 1,082,465,590 = 1,082,465,590 : x
  2. Step 2: Convert to fraction form
    502,810,263/1,082,465,590 = 1,082,465,590/x
  3. Step 3: Cross multiply
    502,810,263x = 1,082,465,590 × 1,082,465,590
  4. Step 4: Simplify right side
    502,810,263x = 1,171,731,753,534,048,000
  5. Step 5: Solve for x
    x = 1,171,731,753,534,048,000/502,810,263
  6. Step 6: Final answer
    x = 2,330,365,626.47

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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.