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Finding the Third Proportional to 590,096,166 and 1,286,985,970

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Solution

The third proportional to 590,096,166 and 1,286,985,970 is: 2,806,886,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,096,166 : 1,286,985,970 = 1,286,985,970 : x
  2. Step 2: Convert to fraction form
    590,096,166/1,286,985,970 = 1,286,985,970/x
  3. Step 3: Cross multiply
    590,096,166x = 1,286,985,970 × 1,286,985,970
  4. Step 4: Simplify right side
    590,096,166x = 1,656,332,886,976,840,960
  5. Step 5: Solve for x
    x = 1,656,332,886,976,840,960/590,096,166
  6. Step 6: Final answer
    x = 2,806,886,372.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.