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Finding the Third Proportional to 2,122,742 and 4,662,499

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Solution

The third proportional to 2,122,742 and 4,662,499 is: 10,240,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,742 : 4,662,499 = 4,662,499 : x
  2. Step 2: Convert to fraction form
    2,122,742/4,662,499 = 4,662,499/x
  3. Step 3: Cross multiply
    2,122,742x = 4,662,499 × 4,662,499
  4. Step 4: Simplify right side
    2,122,742x = 21,738,896,925,001
  5. Step 5: Solve for x
    x = 21,738,896,925,001/2,122,742
  6. Step 6: Final answer
    x = 10,240,951.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.