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Finding the Third Proportional to 590,096,162 and 1,286,985,964

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Solution

The third proportional to 590,096,162 and 1,286,985,964 is: 2,806,886,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,096,162 : 1,286,985,964 = 1,286,985,964 : x
  2. Step 2: Convert to fraction form
    590,096,162/1,286,985,964 = 1,286,985,964/x
  3. Step 3: Cross multiply
    590,096,162x = 1,286,985,964 × 1,286,985,964
  4. Step 4: Simplify right side
    590,096,162x = 1,656,332,871,533,009,408
  5. Step 5: Solve for x
    x = 1,656,332,871,533,009,408/590,096,162
  6. Step 6: Final answer
    x = 2,806,886,365.64

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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.