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Finding the Third Proportional to 462,526,856 and 1,001,265,208

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Solution

The third proportional to 462,526,856 and 1,001,265,208 is: 2,167,510,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,526,856 : 1,001,265,208 = 1,001,265,208 : x
  2. Step 2: Convert to fraction form
    462,526,856/1,001,265,208 = 1,001,265,208/x
  3. Step 3: Cross multiply
    462,526,856x = 1,001,265,208 × 1,001,265,208
  4. Step 4: Simplify right side
    462,526,856x = 1,002,532,016,751,283,200
  5. Step 5: Solve for x
    x = 1,002,532,016,751,283,200/462,526,856
  6. Step 6: Final answer
    x = 2,167,510,932.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.