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Finding the Third Proportional to 374,384,853 and 834,806,205

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Solution

The third proportional to 374,384,853 and 834,806,205 is: 1,861,457,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,384,853 : 834,806,205 = 834,806,205 : x
  2. Step 2: Convert to fraction form
    374,384,853/834,806,205 = 834,806,205/x
  3. Step 3: Cross multiply
    374,384,853x = 834,806,205 × 834,806,205
  4. Step 4: Simplify right side
    374,384,853x = 696,901,399,906,502,016
  5. Step 5: Solve for x
    x = 696,901,399,906,502,016/374,384,853
  6. Step 6: Final answer
    x = 1,861,457,252.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.