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Finding the Third Proportional to 1,054,036,214 and 2,289,520,964

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Solution

The third proportional to 1,054,036,214 and 2,289,520,964 is: 4,973,174,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,036,214 : 2,289,520,964 = 2,289,520,964 : x
  2. Step 2: Convert to fraction form
    1,054,036,214/2,289,520,964 = 2,289,520,964/x
  3. Step 3: Cross multiply
    1,054,036,214x = 2,289,520,964 × 2,289,520,964
  4. Step 4: Simplify right side
    1,054,036,214x = 5,241,906,244,595,489,792
  5. Step 5: Solve for x
    x = 5,241,906,244,595,489,792/1,054,036,214
  6. Step 6: Final answer
    x = 4,973,174,711.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.