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Finding the Third Proportional to 676,161,024 and 1,015,856,640

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Solution

The third proportional to 676,161,024 and 1,015,856,640 is: 1,526,211,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,161,024 : 1,015,856,640 = 1,015,856,640 : x
  2. Step 2: Convert to fraction form
    676,161,024/1,015,856,640 = 1,015,856,640/x
  3. Step 3: Cross multiply
    676,161,024x = 1,015,856,640 × 1,015,856,640
  4. Step 4: Simplify right side
    676,161,024x = 1,031,964,713,032,089,600
  5. Step 5: Solve for x
    x = 1,031,964,713,032,089,600/676,161,024
  6. Step 6: Final answer
    x = 1,526,211,473.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.