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Finding the Third Proportional to 531,444,876 and 1,159,594,520

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Solution

The third proportional to 531,444,876 and 1,159,594,520 is: 2,530,195,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,444,876 : 1,159,594,520 = 1,159,594,520 : x
  2. Step 2: Convert to fraction form
    531,444,876/1,159,594,520 = 1,159,594,520/x
  3. Step 3: Cross multiply
    531,444,876x = 1,159,594,520 × 1,159,594,520
  4. Step 4: Simplify right side
    531,444,876x = 1,344,659,450,814,030,336
  5. Step 5: Solve for x
    x = 1,344,659,450,814,030,336/531,444,876
  6. Step 6: Final answer
    x = 2,530,195,532.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.