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Finding the Third Proportional to 339,154,200 and 734,651,540

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Solution

The third proportional to 339,154,200 and 734,651,540 is: 1,591,349,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,154,200 : 734,651,540 = 734,651,540 : x
  2. Step 2: Convert to fraction form
    339,154,200/734,651,540 = 734,651,540/x
  3. Step 3: Cross multiply
    339,154,200x = 734,651,540 × 734,651,540
  4. Step 4: Simplify right side
    339,154,200x = 539,712,885,224,371,584
  5. Step 5: Solve for x
    x = 539,712,885,224,371,584/339,154,200
  6. Step 6: Final answer
    x = 1,591,349,554.94

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Why These Related Problems?

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