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Finding the Third Proportional to 751,921,588 and 1,149,494,316

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Solution

The third proportional to 751,921,588 and 1,149,494,316 is: 1,757,280,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,921,588 : 1,149,494,316 = 1,149,494,316 : x
  2. Step 2: Convert to fraction form
    751,921,588/1,149,494,316 = 1,149,494,316/x
  3. Step 3: Cross multiply
    751,921,588x = 1,149,494,316 × 1,149,494,316
  4. Step 4: Simplify right side
    751,921,588x = 1,321,337,182,516,307,968
  5. Step 5: Solve for x
    x = 1,321,337,182,516,307,968/751,921,588
  6. Step 6: Final answer
    x = 1,757,280,551.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.