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Finding the Third Proportional to 398,865,935 and 612,706,913

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Solution

The third proportional to 398,865,935 and 612,706,913 is: 941,192,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865,935 : 612,706,913 = 612,706,913 : x
  2. Step 2: Convert to fraction form
    398,865,935/612,706,913 = 612,706,913/x
  3. Step 3: Cross multiply
    398,865,935x = 612,706,913 × 612,706,913
  4. Step 4: Simplify right side
    398,865,935x = 375,409,761,237,989,568
  5. Step 5: Solve for x
    x = 375,409,761,237,989,568/398,865,935
  6. Step 6: Final answer
    x = 941,192,837.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.