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Finding the Third Proportional to 2,217,460 and 4,696,664

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Solution

The third proportional to 2,217,460 and 4,696,664 is: 9,947,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,460 : 4,696,664 = 4,696,664 : x
  2. Step 2: Convert to fraction form
    2,217,460/4,696,664 = 4,696,664/x
  3. Step 3: Cross multiply
    2,217,460x = 4,696,664 × 4,696,664
  4. Step 4: Simplify right side
    2,217,460x = 22,058,652,728,896
  5. Step 5: Solve for x
    x = 22,058,652,728,896/2,217,460
  6. Step 6: Final answer
    x = 9,947,711.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.