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Finding the Third Proportional to 345,259,509 and 739,765,884

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Solution

The third proportional to 345,259,509 and 739,765,884 is: 1,585,049,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,259,509 : 739,765,884 = 739,765,884 : x
  2. Step 2: Convert to fraction form
    345,259,509/739,765,884 = 739,765,884/x
  3. Step 3: Cross multiply
    345,259,509x = 739,765,884 × 739,765,884
  4. Step 4: Simplify right side
    345,259,509x = 547,253,563,130,301,440
  5. Step 5: Solve for x
    x = 547,253,563,130,301,440/345,259,509
  6. Step 6: Final answer
    x = 1,585,049,937.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.