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Finding the Third Proportional to 487,269,921 and 1,052,202,217

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Solution

The third proportional to 487,269,921 and 1,052,202,217 is: 2,272,107,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,269,921 : 1,052,202,217 = 1,052,202,217 : x
  2. Step 2: Convert to fraction form
    487,269,921/1,052,202,217 = 1,052,202,217/x
  3. Step 3: Cross multiply
    487,269,921x = 1,052,202,217 × 1,052,202,217
  4. Step 4: Simplify right side
    487,269,921x = 1,107,129,505,459,715,072
  5. Step 5: Solve for x
    x = 1,107,129,505,459,715,072/487,269,921
  6. Step 6: Final answer
    x = 2,272,107,219.73

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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.