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Finding the Third Proportional to 502,810,230 and 1,082,465,535

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Solution

The third proportional to 502,810,230 and 1,082,465,535 is: 2,330,365,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,810,230 : 1,082,465,535 = 1,082,465,535 : x
  2. Step 2: Convert to fraction form
    502,810,230/1,082,465,535 = 1,082,465,535/x
  3. Step 3: Cross multiply
    502,810,230x = 1,082,465,535 × 1,082,465,535
  4. Step 4: Simplify right side
    502,810,230x = 1,171,731,634,462,836,224
  5. Step 5: Solve for x
    x = 1,171,731,634,462,836,224/502,810,230
  6. Step 6: Final answer
    x = 2,330,365,542.61

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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.