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Finding the Third Proportional to 484,586,793 and 1,057,983,282

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Solution

The third proportional to 484,586,793 and 1,057,983,282 is: 2,309,862,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,586,793 : 1,057,983,282 = 1,057,983,282 : x
  2. Step 2: Convert to fraction form
    484,586,793/1,057,983,282 = 1,057,983,282/x
  3. Step 3: Cross multiply
    484,586,793x = 1,057,983,282 × 1,057,983,282
  4. Step 4: Simplify right side
    484,586,793x = 1,119,328,624,991,491,584
  5. Step 5: Solve for x
    x = 1,119,328,624,991,491,584/484,586,793
  6. Step 6: Final answer
    x = 2,309,862,012.67

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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.