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Finding the Third Proportional to 344,574,170 and 756,098,971

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Solution

The third proportional to 344,574,170 and 756,098,971 is: 1,659,107,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574,170 : 756,098,971 = 756,098,971 : x
  2. Step 2: Convert to fraction form
    344,574,170/756,098,971 = 756,098,971/x
  3. Step 3: Cross multiply
    344,574,170x = 756,098,971 × 756,098,971
  4. Step 4: Simplify right side
    344,574,170x = 571,685,653,947,258,816
  5. Step 5: Solve for x
    x = 571,685,653,947,258,816/344,574,170
  6. Step 6: Final answer
    x = 1,659,107,686.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.