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Finding the Third Proportional to 398,865,940 and 612,706,921

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Solution

The third proportional to 398,865,940 and 612,706,921 is: 941,192,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865,940 : 612,706,921 = 612,706,921 : x
  2. Step 2: Convert to fraction form
    398,865,940/612,706,921 = 612,706,921/x
  3. Step 3: Cross multiply
    398,865,940x = 612,706,921 × 612,706,921
  4. Step 4: Simplify right side
    398,865,940x = 375,409,771,041,300,224
  5. Step 5: Solve for x
    x = 375,409,771,041,300,224/398,865,940
  6. Step 6: Final answer
    x = 941,192,850.51

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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.