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Finding the Third Proportional to 741,883,459.50 and 1,147,688,541

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Solution

The third proportional to 741,883,459.50 and 1,147,688,541 is: 1,775,466,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,883,459.50 : 1,147,688,541 = 1,147,688,541 : x
  2. Step 2: Convert to fraction form
    741,883,459.50/1,147,688,541 = 1,147,688,541/x
  3. Step 3: Cross multiply
    741,883,459.50x = 1,147,688,541 × 1,147,688,541
  4. Step 4: Simplify right side
    741,883,459.50x = 1,317,188,987,142,708,736
  5. Step 5: Solve for x
    x = 1,317,188,987,142,708,736/741,883,459.50
  6. Step 6: Final answer
    x = 1,775,466,173.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.