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Finding the Third Proportional to 499,304,200 and 1,085,514,965

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Solution

The third proportional to 499,304,200 and 1,085,514,965 is: 2,359,969,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,304,200 : 1,085,514,965 = 1,085,514,965 : x
  2. Step 2: Convert to fraction form
    499,304,200/1,085,514,965 = 1,085,514,965/x
  3. Step 3: Cross multiply
    499,304,200x = 1,085,514,965 × 1,085,514,965
  4. Step 4: Simplify right side
    499,304,200x = 1,178,342,739,238,951,168
  5. Step 5: Solve for x
    x = 1,178,342,739,238,951,168/499,304,200
  6. Step 6: Final answer
    x = 2,359,969,612.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.