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Finding the Third Proportional to 415,907,328 and 901,167,000

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Solution

The third proportional to 415,907,328 and 901,167,000 is: 1,952,603,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907,328 : 901,167,000 = 901,167,000 : x
  2. Step 2: Convert to fraction form
    415,907,328/901,167,000 = 901,167,000/x
  3. Step 3: Cross multiply
    415,907,328x = 901,167,000 × 901,167,000
  4. Step 4: Simplify right side
    415,907,328x = 812,101,961,888,999,936
  5. Step 5: Solve for x
    x = 812,101,961,888,999,936/415,907,328
  6. Step 6: Final answer
    x = 1,952,603,157.52

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